Yep, plus many for Folly Farm. It sounds like the sort of place that would be horrible but it is actually a good fun day out, and not very expensive either. Expect to pay for rides when you get inside, but again they aren’t particularly expensive.
Manor House Wildlife Park is worth a visit. Ann Ryder Richardson’s zoo. You’ll only spend a couple of hours at most looking at the animals, but if it’s a nice day, take a picnic and there are plenty of nice places to sit and relax while the kids play. The food is good in the cafe.
If your kids are into castles, there are plenty of them around. Kidwelly castle is nice.
Laugharne is nice for a short wander, and chips below the castle. (And a quick peak into Dylan Thomas’s writing shed.)
Iirc there is a ‘chocolate factory’ just outside Whitland, up the hill from where I used to live. Offhand I can’t remember where exactly.
Loads of good beaches in any direction from Tenby.
I’ve just asked my kids for any other suggestions of where to visit and the 4 year old has suggested ‘Egypt’. 🙄