Depends what you are looking for Kate.
There is a big site with sea views and a clubhouse at LLandulas that lots of people love and has received awards. Not my cup of tea as too busy and next to the A55.There's a basic plus electrics site in Rhos-on-Sea which is within walking distance to an excellent pub and close to drive to LLandudno which might suit, however, my choice would be either a CL up the Conway valley... there's one next to the road at Tal-Y-Bont that is in a walled garden and looks nice , about 1/2 a mile to an average pub or my own choice, depending on how much it costs, would be an independant site in Trefiew.
Trefiew is a lovely little village , has several good pubs and eating choices, a couple of local shops and is the base for some excellent walks of varying challenges.
Depending on where you are in Chester, the distance to travel is about 50 miles.