Recommendations for day out mid way between Leicester and bridgwater?

[Choufleur]

Meeting a friend for the day. Need somewhere that's about half way for both of us? Dcs are 6,5 and nearly 4.

It is closer to Leicester than Bridgwater but Umberslade is a nice day out. I've met a friend there with similar aged children when we were looking for somewhere halfway between Bristol and Peterborough.