To joe public .me.uk is more memorable. I own a semi-popular domain which is accessed from the .co.uk, .me.uk, .me and .org variants. .me is barely used (in fact this is what we use as the advertising URL on certain sites - however we find people tend to use me.uk when revisiting via that intro method).

So by no difference I meant there is no real difference to the UK public between the 2 (but me.uk is probably a safer bet).

(btw the site in question normalizes to .com so there is no infered bia by the "browse" url).