As someone says good to stay with GP you know when you move if you do not go often.
No one can forsee when illness will strike.

When I moved from Dacres to Devonshire in 85 kept telling the Bell Green Health Centre I lived in Dacres ( where my parents still lived .) When my was mother ill in about 04 and the GP did a home visit by mistake Mum let the cat out of the bag.
I was very politely asked to move despite the fact I could still walk to Bell Green in about 23 mins , Vale only about 5 mins nearer.

I think probably best to sign up in the right catchment area. You never know your medical requirements in future