Nuneaton sounds like it would be a pretty suitable area to look at, if you live the hinckley side of the town, so Weddington, Long Shoot (new builds at both areas currently) St Nicholas, horeston grange... there are small play parks on Horeston Grange, plenty of green areas to walk and some of the new builds are starting to add play equipment now too
good bus routes into town, small shopping area at Horestone Grange (Farm Foods, Co-Op, pet shop, carpet shop, chipshop, post office, Subway)
From town there is the bus station with busses to Hinckley, Coventry, Bedworth - Train station with good local routes, inc the above, Birmingham, London
A little out of town (but bus accessible) there is a Cinema, McDonalds, Subway, Starbucks, Bowling, KFC, Frankie n Bennys, Indoor soft play, Gym
The town is not bustling by any means, but suitable, and as above there are good links for larger shops in Coventry/Birmingham/Leicester
Depending on where you move to, theres a good choice of schools - it starts to get a bit 'competetive' when it comes to secondary, so worth looking at those (only 9 years to go til you need them!), then finding which feeder schools they have and looking at that area