During Jaipur visit we visited this place, from Jaipur there are many trains to reach ranthambore, if you are really tight ton budget get a train from Jaipur & stay in dharamshaala a dirt cheap price & expect the same with quality of stay, there are only 2 safaris running one in the morning(Starts at 6.30 AM) & one in the evening(Starts at 3PM), you can book your safari rides online which costs you 600 per person.
If you are lucky enough you may get gypsy or else you have to get in the canter which carries around 20 people for the safari, it was overall a goo experience, we stayed in a nice hotel which charged 1000 per room with 4 persons in each room, it was really cheap for such a good hotel(City Heart), it had 24hrs swimming pool, Spacious rooms with AC & the main thing was safari pickup from the hotel . I would really recommend this hotel for stay.