There are two Kailasas. One in Cosmic Plane and other Kailasa on Earth.
तस्य पूर्णावतारो हि रुद्रः साक्षाच्छिवः स्मृतः। कैलासे भवनं रम्यं
पञ्चवक्त्रश्चकार ह। ब्रह्माण्डस्य तथा नाशे तस्य नाशोऽस्ति वै नहि॥ ५०
Rudra happens to be his complete and perfect incarnation. Five faced
Siva (Sada Shiva), has built a blissful abode at Kailāśa, which is beyond
destruction even after the destruction of the universe.
Just after creation, Kubera prayed to Lord Shiva at Kasi, where Shiva is always present in Saguna form as Vishweswara. After granting boons to Kubera, Shiva thought to stay close to His devotee Kubera.
रुद्रो हृदयजो मे हि पूर्णाशो ब्रह्म एकलः। हरिब्रह्मादिभिः सेव्यो
मदभिन्नो निरञ्जनः॥ ४॥
Rudra born out of my heart is the only and complete Brahman, who is
served by Brahma, Visnu and other gods. He is inseparable from me
तत्स्वरूपेण तत्रैव सुहन्दूत्वा विलास्यहम्।। कुबेरस्य च वत्स्यामि
करिष्यामि तपो महत्॥५॥
Therefore, I, in that form, becoming his friend, shall live at Kailasa
close to Kubera and performs severe tapas.”
So, Shiva in human form as Rudra moved to Kailasa mountain, which is curently situated in Tibet. However, this story happened in Meghavana Kalpa, which came after Padma kalpa.
Kailasa is described in very detail in Chapter 6 of 4th Canto of Srimad Bagavatam.
After thus having instructed the godly ones Lord Brahmâ went away with
in his wake the forefathers and the leaders of the people whom he took
from his own place to the abode of Lord S'iva, Kailâsa, the best of
all mountains that is so dear to the master.
[The place] enjoyed by
Kinnaras, Gandharvas, and Apsaras [the residents and singers of heaven
and their wives] is populated by the perfected ones [or Siddhas] who
differ from other people [or are gifted] by birth, by austerity, by
their use of herbs or by practicing mantras in yoga. The mountain
range home to a diversity of deer is replete with all kinds of
precious stones and is grown by trees, creepers and a diversity of
other plants. The mountain peaks with their crystal clear waterfalls
have various caves that accommodate the mystics who sport there with
their loving wives. Resounding with the cries of peacocks and the
humming of bees blind of intoxication, there is the continuous song of
cuckoos and chirping of other birds. With the elephants moving the
mountain itself seems to be moving, with the sounds of the waterfalls
the mountain itself seems to resound and with the trees that yield to
all desires the mountain itself seems to be stretching its arms
calling for the birds.
(The mountain is further beautified by mandâra,
pârijâta, sarala (pine) and tamâla trees, s'âla and tâla, kovidâra,
âsana and arjuna trees, cûtas (mango), kadambas, dhûli-kadambas and
nâgas, punnâgas and campakas and one also sees there trees like
pâthalas, as'okas, bakulas, kundas and kurabakas. And it is also
adorned with golden colored lotuses, the cinnamon tree and the mâlatî,
kubja, mallikâ and mâdhavî. With kata, jackfruit, julara and banyan
trees, plakshas, nyagrodhas and trees producing asafoetida, there are
also betelnut trees, pûgas, râjapûgas and jambus [black berries and
greenery alike]. Offering a variety of trees like kharjûras,
âmrâtakas, âmras and such and others like priyâlas, madhukas and
ingudas, it is as well rich with venu-kîcakaih and kîcaka [different
sorts of bamboo].
Kumuda, utpala, kahlâra and s'atapatra lotuses
cover the lakes of the forests which, filled with the sweet whispers
of flocks of birds, harbor deer, monkeys, boars, cats, bears,
s'alyakas, forest cows and asses, tigers, smaller deer and buffaloes
and such. It is enjoyed by different types of deer like the
karnântras, ekapadas, as'vâsyas, vrikas and kastûrîs and has groups of
banana trees near the sandy banks of the beautiful hillside lakes
filled with lotuses. The devoted ones saw the waters of lake
Alakanandâ carrying the flavor of Satî who bathed there and they were
struck with wonder about that mountain of the Lord of Ghosts.
at Alakâ ['uncommonly beautiful'] they saw the region with the forest
named Saugandhika ['full of fragrance'], which carried that name
because of the species of lotus flowers one finds there. And the two
rivers the Nandâ and Alakanandâ flowing close to the abode of the feet
of the master were even holier because of the dust of the lotus feet.
Dear ruler, in both the rivers the celestial damsels descended coming
from their dwellings after their lovemaking in order to play there
with their husbands and splatter each other with the water.
streams having turned yellow because of the kunkum powder [that washed
from their breasts] make the elephants and their females who take a
bath there drink from the water, even though they aren't thirsty. The
heavenly homes enjoyed by the wives of the virtuous ones were
bedecked with countless valuable jewels, pearls and gold which made
them look like clouds in the sky brightened by the flashes of
Passing through the Saugandhika forest that was so attractive with its
variety of trees yielding to all desires with its flowers, fruits and
leaves, they reached the abode of the Lord of the Yakshas. There they
saw the beauty of many birds with red necks whose sounds mixed with
the humming of bees as also lakes with groups of swans and most
precious lotus flowers. The breeze of the sandalwood trees made the
wild elephants flock together and stimulated the minds of the wives of
the virtuous ones over and over. The staircases leading to the
bathing places full of lotuses, used by the ones faithful to the
divine personality [the Kimpurushas], were made of vaidûrya stone and
as soon as they saw them they spotted a banyan tree nearby. At a
height of thousands of feet it spread out its branches over a quarter
of the foot of the mountain, casting a fine cooling shadow. It had no
birds nesting in it.
Underneath the tree the godly ones saw Lord S'iva, the shelter of many
a great sage desiring liberation, sitting there as grave as eternal
time in having given up his wrath. Saintly liberated souls like the
Kumâras headed by Sanandana and Kuvera, the master of the Guhyakas and
Râkshasas, sat there in praise around the solemn and serene Lord.
Beauty of Kailasa is also described in Chapter 11, Uttara Khanda of Padma Purana. The Demon king Jalandhara, who was born out of Amsa of Shiva, saw Kailasa as follows:
Narada said: 29-40. Then the very mighty son of the Ocean (Jalandhara) proceeded to
Kailasa. He was surrounded by sixty thousand mahapadma soldiers. In
the meanwhile, Siva, leaving Kailasa, went, along with his attendants,
his sons and his dear wife, to (that part of) Kailasa to the north of
the Manasa (lake). Then on the first day Jalandhara reached Kailasa.
Setting his army there, he was eager to see Kailasa.
There the breezes to which the masses of the divine filaments and
the pollen of mandara (flowers) had resorted, and which were broken by
the showers of the sprays of cold drops, blew. Charming breezes, high
like the stout breasts of the siddha women, and rich with the honey of
mandara, blew there. Seeing there the planting of their feet by ladies
bright and glossy like the asoka(-flowers), the lord of the demons
became full of the sexual desire. The gods there delighted at seeing
their own reflections were pleased. There, the mandara (trees) with
their sprouts withered, shone everywhere, after having manifested the
coitus of the kinnara lovers. There the groves of many trees were
occupied by the attendants of Sambhu. They appeared to be as it were
well sustained by king Cupid. There the swarms of bees intoxicated by
the fragrance of sandal and musk appeared like the charcoals of the
burnt Cupid, that were put out.
There, I think, having seen the entire
beauty of the charming ladies, the friend of (i.e. resembling)
excellent beauty, musk gave up the amusement of its mind, and plunged
into blackness. At places there were lotuses shining like excellent
red chalk. At places there were buds moving from their stems
resembling the cloveshoot. At places there were bracelets shining like
rafts on the mountain-streams. At places there were bees bowing
through the humility of the nicula (a kind of reed) blossoms. At
places there were fresh mango blossoms, burst and affected by cuckoos.
At places there were the strong roots of the sali rice, resorted to by
herds of deer. At places there were groves sanctified by the extremely
beautiful young married divine ladies, which caused a change even in
the minds of sages.