Finding a house in Jaipur for 5 weeks

Hei guys, my partner and I will be coming to Jaipur in February for 5 weeks. Do you guys have recommendations about accommodations? I checked Airbnb and booking but everything is too expensive. Are there some websites that are more commonly used there? Any other tips? How much do you think is a fair price? Anything to keep in mind about the areas? thanks guys :)))