This is very interesting and good question.
We often see the term “Lotus feet” in all our Puranas, Bhakti literature and in various other spiritual books. The term lotus feet represents the Divine feet of Gods, Saints, Gurus, Acharyas and other Spiritual beings.
The feet of the Gods , Saints, Gurus, Acharya etc. are compared to the lotus .The concept is the softness , divinity of the feet can be only compared with the delicate lotus petals.The lotus is soft , sublime and also sacred so are the lotus feet of these.
Now in Hinduism lotus is a spiritual symbol , the actual meaning of which is Spiritual progress, pureness, knowledge etc. The another meaning of the lotus Feet is also transcendental , or very deep , and beyond our understanding.
A student , devotee or a disciple expresses his devotion , surrender dedication and love , humility etc towards his chosen God , Guru , spiritual master etc. By touching , meditating at their Its Lotus feet. In this way a relation with all these also gets established.
There is another concept which is called “Sharanagati” means falling upon the lotus feet of the God , Guru , OR Spiritual masters ,to illuminate our soul and to attain the state of Moksha. This also signifies giving away all our ego and completely taking shelter at feet of these.
We here can see the softness of the feet of Shree Rama is compared with that of lotus.
गुर्वर्थे त्यक्तराज्यो व्यचरदनुवनं पद्मपद्मपद्भ्यां प्रियाया:।
पाणिस्पर्शाक्षमाभ्यां मृजितपथरुजो यो हरीन्द्रानुजाभ्याम ।।
gurv-arthe tyakta-rājyo vyacarad anuvanaṁ padma-padbhyāṁ priyāyāḥ
pāṇi-sparśākṣamābhyāṁ mṛjita-patha rujo yo harīndrānujābhyām
To keep the promise of His father intact, Lord Rāmacandra immediately
gave up the position of king and, accompanied by His wife, mother
Sītā, wandered from one forest to another on His lotus feet, which
were so delicate that they were unable to bear even the touch of
Sītā’s palms.SB 9.10.4
त्सर्वश्रुतिशिरोरत्नविराजित पदाम्बुजः ।
वेदान्ताम्बुजसूर्योयः तस्मै श्रीगुरवे नमः ॥
tasmai shriigurave namaH
Salutation to the noble Guru, whose lotus feet are radiant with (the
luster of) the crest jewel of all Srutis and who is the sun that
causes the Vedanta Lotus (knowledge) to blossom. here
These are some quick examples of lotus feet concept you want to know.
There are literally thousands of such example scattered in our vast literature. Some of which I will add later on in my answer.