In reply to AndyP_UK:
Having been raised in Worcestershire and with two young nippers myself I’d say you’re going to struggle in the Worcester locality. Off the top of my head I can’t think of one place close to Worcester where I would take my kids climbing. Ironically, the best place close by I ever took my kids was Grosmont castle in Monmouthshire, they loved climbing there!
in terms of good quality, kid friendly rock: nesscliffe or grinshill by Shrewsbury would be my recommendation. Nesscliffe has loads of great, hard climbing but if you go past kynastons there is a wall with some nice big holds, an interesting crack and most importantly a flat landing/ picnic area. It’s probably about 2 hours from Worcester mind you, so you could just as well get on the m5 and bosh it up to the peak in the same time, but it’s a less pleasant drive.
other stuff: haresfield quarry down past Gloucester, probably about an hour from Worcester, again a really nice family friendly crag with lots of easy traverses/ little up problems and some harder problems too (a 6b traverse and 7a wall problem). It’s also a quick walk from the car park, generally sheltered from the wind and a bit of a sun trap too.
i hope this has been of some help.