You can book hotels with the oyo..best hotels at low price...Always book hotels near bus stand..Because then you can travel the Jaipur in public transport like metro and buses or sharing autos. Check my blogs to see how to cover Jaipur in minimum budget..You can ask if you have any doubts..
You can book hostel and jaipur is not so expensive city you should travel by local buses don't go on the auto or taxis. Food is also cheap there I went there about 1month ago and I spent less than 600rs because I was not staying there. Ticket cost are high for every place you visit. Its depends on you where you want stay or what you wanna eat.