Health - In case of any emegency or if you are looking for medical tourism there are several excllent hospitals in Jaipur that you can go to -

1 - Santokba Memorial Hospital near Rambagh Palace crossing

2- Fortis Hospital on JLN Road

3 - Narayan Hrudalaya

 Safety - As in any place in the world, you have to be careful about your own safety. Here are a few tips - 

1 - Stay in reliable hotels

2 - Use reliable tour operators to arrange your arrival transfers and sightseeing

3 - Be aware of shopping scams and bargain at shops so you get good value for your money

4 - Walking around in the busy bazaars in the night is absolutely safe but be aware of walking around in isolated and lonely places.