JBGA,
If you want to learn on a fun plane like a Tiger Moth or a Cub just do so. They aren't much more expensive than other training planes and if they are the reason you are getting your PPL, why not just start on them?
I posted on here years ago saying I wanted to learn from scratch on the Tiger and most people said it was a dumb idea. Well I ignored them and got my PPL on a Tiger and had a great time.
It can't be that hard to fly them if everyone used to learn on them years ago can it?
Don't not do it just because someone on the internet says it's a bad idea! No doubt I'll get abuse now for saying that but I know a lot of instructors who think it's quite feasible to learn on these older types too, so it's not just my opinion.
Also, your gliding experience will help you out as you already know how to use the rudder!
Good luck