Hi olivia, both me and my other half have graduate accounts with Natwest, you just need some proof of your undergraduate degree to open one up, so far we've had no problems and since you can ring the branch directly its easy to sort things out. Also internet banking is fantastic and well worth setting up as you can easily check your accounts and move money etc. Natwest also offer an online savings account which has a good interest rate for larger amounts of money. Good luck!

Going from a PhD to teacher training is a massive jump, I would advise you try and get experience in several schools before you make any firm decisions. I began teacher training as a secondary science teacher but left to start my PhD, I personally found staying up till all hours in the morning preparing worksheets about very basic science concepts frustrating.
Teaching is a really rewarding career at times but dont be fooled by what appears to be short working hours and long holidays. Planning lessons, preparing resources and putting up displays all take time.
Good luck!