Jaipur visit hotels recommendations

Hello I’m traveling to Jaipur tomorrow Feb 4 until Feb 6 or 7 depending on the number of things we found to do around the city or if we decide to go north to something like Delhi. I wanted recommendations of places to stay in Jaipur that are located in nice areas and decently close to the touristic places we should visit (if possible, we are fine traveling if it’s better) I had in mind maybe palaces like hotels since they seem nice to stay at but I don’t know if it’s a facade and it’s not worth it. We are open to pay up to 12k a night max, if lower then better haha but we may even consider paying more if that’s worth it. This is the first time I’m in India and Jaipur was recommended by friends but we are also open for recommendations to move to Delhi earlier if you consider it better? We just want to visit as many must see places as possible while we stay here.