Help with a budget automatic and driving anxiety on hills please

Hi,

I'm going to swap my manual car for an automatic, mainly as ive developed driving anxiety - particularly on hills and cant balance on the clutch without wobbling and scared of rolling back after putting the handbrake on.

But...this is where im looking for help...im on a small budget (5.5k max and not a car that's done over 100k miles as it will be near end of life).

Anyway, there's a few Corsa's, ford fiestas, citroen c3 etc (these are the sort of size im looking for) at around 5k but ive been told to avoid the above as they are around 2010/2012 (obviously older cars) for my budget and the gearboxes on those cars at that age won't be suitable for my needs and make my anxiety worse. Something about they wobble, jerk and roll back when on a hill. Is this correct?

I'm at a bit of a loss for what to do ( I have tried refresh driving lessons but think i need to admit defeat and go for an automatic, as driving instructor suggested) but looks like a lot of automatics in my budget dont have suitable gearboxes for my driving nerves. Is this correct? Or incorrect? I thought any automatic would help.

Thanks for any help / advice