Stratford-upon-Avon - things to do for babies?

Hiya, we've just booked a couple of nights in Stratford at the end of the month, it's mine and hubby's favourite place, but not been since we had Ryan.

Can anyone suggest any baby friendly places to go, any petting zoos, soft play areas etc? He's nearly 1.

Also baby friendly restaurants / cafes would be handy.

Thanks in advance!

xxx