Nahargarh*, Amer*(Must Visit), Jaigarh, Hawa Mahal, Char Diwari, and Albert Museum Hall.
If you are non-veg lover then must visit MM Khan restaurant near Sanganeri Gate, Chardiwari.
Amer fort, Nahargarh and Hawa Mahal is good fo a day trip in Jaipur. But you have to start early in the morning then you can explore these places easily.
U can visit the Albert Hall museum, Hawa Mahal, jantar mantar and city palace. all these places are in close vicinity. After that if you have time, do visit the Amer fort. make sure to start your trip early so that you can cover everything comfortably. happy travelling ☺
If u have one day at jaipur, book local sightseeing city tour by RTDC for time slot that's suitable to u. this way u can cover most things economically and in limited time.