It is very easy to go jaipur from any part of country and we get nice network of public transport in the city
What to Watch-
As everyone would say to visit hawa mahal and Birla temple I woul;d want you to visit zoo and musium with ancient scientific instrument which is having small sripture of jantar mantar, You should each dishes of famous Kanjji Hotel
Hotels-
It is very easy to find a convenient hotel both online and offline
Safety-
Jaipur is a safe city for women so please dont worry about that city is safe.