Gateshead is like 400 Miles from London Zhavasdad:- I assume you mixed up kilometers with miles as 400 kilometers is 248&1/2 miles, and even this is underestimated, as London to Gateshead is approximately 270 miles=434&1/2 kilometers. {Measured from Golders Green, slightly nearer than being measured from Piccadilly Circus in Central London}.
Mameshtov please bear in mind that Motzei Shabbos in Leeds at height of summer is not until 11.08PM, so this may be past your bed time and may make you wish to reconsider moving to Leeds.