Udaipur is a lovely city filled with lakes, havelis and lot of gardens that there are lot of unexplored spots to be explored. Will share a few Tripoto links written by travellers pertaining to their travel to Udaipur exploring the unexplored, see if it is suitable for your travel. https://www.tripoto.com/rajasthan/trips/a-memorable-trip-to-ranakpur-an-offbeat-place-between-udaipur-and-kumbhalgarh-5d11042e1d55d The Offbeat Udaipur..!!!
https://www.tripoto.com/rajasthan/trips/the-offbeat-udaipur-5edbba5570908 Here are some more spots to explore
Vintage car museum at Brahmpuri
Badi lake at Badi
Chetak place a shopping paradise at Chetak circle Sahastra Bahu temple at Nagda 20kms away
Molela a terracotta village 56km away
Pratap park in the banks of Pichola lake Hathi pol bazaar 2km within the city to shop souvenirs You could try a heritage walk which shows you many spots called as hidden gem of Udaipur
Udaipur, besides it’s famous lakes and palace, offers many famous temples which are nearby around 50 km or so. Srinath Jee temple at Nathdwara is one, Mahabaleshwar, Bohra Ganesh and Eklingji are other temples.