So, this post of mine is a little insight into this city. I hope I can provide you with some useful information although I must admit I'm yet to discover a lot more places!
Udaipur was founded by Maharana Udai Singh II, which explains the name. It is also known as theCity of Lakes. It, according to me, is a very apt nickname since this city has got many large lakes. Apart from the lakes, you'll find many small hills in the city. A very noticeable feature of the city is that you'll find bougainvillea plants of every imaginable color in every nook and corner of the city!
Some important places to visit in the city are the City Palace, Saheliyon ki baari(which has beautiful fountains and lotus pools), Gulabh Bagh(which is a delight for children and adults alike), Pichola Lake, Rajiv Gandhi Park, Nehru Park(which is on one of the islands of Fatehsagar Lake), Fatehsagar Lake and many other places. If you're ready to travel, you could go to Jaisamand Lake(You could visit the Jaisamand Island resort and stay there for a few days. You'll love the experience), Nathdwara, Eklingji, Sajjangarh Fort and Mount Abu.
Picture above: Fatehsagar Lake
Fatehsagar at sunset
I'm going to describe Fatehsagar Lake in detail for you. Fatehsagar Lake, a.k.a F.S is a large artificial lake in Udaipur. On one side, there is a cycling/walking area where people go in the mornings and evenings. You get to see a breathtaking sight, the sun's reflection in the blue water of the lake, small fountains and islands in the middle of the lake. Near this area, several food stalls are present to make sure that all your walking goes to waste! It is really beautiful. You cannot come to Udaipur and not visit this lake!
A little note on the climate: For a person who's always lived in the eastern side of India, the climate here is extremely pleasant. A pleasant breeze blows during all seasons. For me, winter sets in early. The summer's dry but the wind helps. Let me tell you that inspite of being a city in Rajasthan, this area receives a good amount of rainfall, starting July.
That brings me to the end of my post. I was reluctant to come to this place for obvious reasons and initially didn't notice the beauty of this place. But, it definitely is a beautiful city and everyone must visit it.