In reply to Jamie Wakeham:
I'm assuming you haven't overlooked Baggy, which will of course be around the corner.
Downsides of Baggy: the 'easy' climbs are mostly S to HS, so a bit harder than you are looking for, and it is a bit of a 20+ min slog up the hill (but not bad by Culm Coast standards!). Most of the 'proper' climbing is quite tall (20-30m) and ab-in, although as friendly as that will ever be (or you can just lower and then top-rope from the top). The bit on the Promontory is the place to go if you have been before (Ben, Marion, In Her Eyes etc); the coast path goes right past it. I'm also not sure there are any small slabs for the toddler in convenient places; there is stuff in Slab Cove that might be OK but it looks horribly tidal and walk-in access is probably far too exciting given the tidal nature... There is plenty of odd short rock along the beach and along the coast path on the way to the crag but it's all fairly spiky and not very slabby... And the tidal range is VERY large, being the N Devon coast, although some of the ledges the routes start on are not very tidal (I don't remember how tidal the Promontory ledge is though) so you are often OK quite a way from low tide and usually get a good long day's climbing in.
However, non-climbers can enjoy the popular surfing beach or the various bits of coast along the walk-in (I have had a BBQ on the tidal bits before; there are some paths down to the rock in places). It at least has the advantage that it isn't really remote - the walk-in starts near enough by the beach in Croyde which has all the usual seaside paraphernalia.