Hi shanek,
Geri has given a very good rundown of Rabbit Resort and the general area around it.
'Rabbit is actually on the beach in Jomtien - not Pattaya, which is about a ten minute ride by songtaew.
By comparison, Jomtien is much quieter and 'tamer'. On Rabbit's section of the beach, there's a staff member on duty so you can actually order food and drink from him and he goes to the kitchen or bar and brings your order to you - no need for you to move.
A few minutes walk along the beachfront to the corner and there's a 7-11 and a good bookshop (Bookazine I think) internet cafes, hairdressers and massage places - oh, and a laundry or two in the lane just by 7-11.

If you walk along the Beach Road there are lots of stalls and small shops, restaurants etc. In the evenings, there used to be a few stalls selling terrific banana crepes cooked while you wait (as a person who doesn't eat street food, I make the exception for these! YUM!)
The funpark is called Pattaya Park I think and from Rabbit Resort and the beach, you can see a big tower with a cable car type thing. I don't know what else (never been there).

So, by staying at Rabbit, you can spend a lot of time away from Pattaya if you like.
You don't say how old your children are but if teenagers,they'll be gawking in Pattaya. If very young, I don't think they'd notice all that much during the day, except old guys with young women/young men.
It's at night that Pattaya is all action so you could avoid it at night and just stay in Jomtien.

Jomtien has a few bars where the girls call out to passers-by but pretty harmless "WELLLLLLLLLCOMMMMMME" and would probably not do that if kids were in tow as Thais are generally very family-focussed and mindful of kids
.
By day, you could go to the beach, hang around the pools, visit the funpark, or go to Pattaya to shop in the department stores or have lunch, go to the cinema in Royal Garden shopping plaza - you could spend a fair bit of time here, shopping, lunch, cinema. There's a food court on either the 2nd or 3rd level.
There are also other shopping areas out of central Pattaya and these are not seedy at all - just typical commercial/retail areas away from the bar areas.
Further afield you could take a boat trip to Koh Samet and spend time on the beach. That would be an all-day trip.

We've been to Hua Hin a few times (stayed at Takiab Beach area) and we actually prefer Pattaya - much better in terms of getting around, good hotels are much cheaper than at HH and Jomtien Beach is comparable to Hua Hin.