That's exactly what I would sayMaybe better (in AmE): Would you mind moving over a little to make room for my friend?
...or a piercing, hypnotic stare like you have, ewie.Budge is too informal, and somewhat brusque, to use with a stranger ~ unless you have a particularly winning smile and charming manner![]()
In informal (family or friends) settings, it is very common and would be the normal thing I would say in the form: "budge up a bit" and is not at all negative. Rather than being rude or brusque, it's casualness assumes a degree of intimacy and familiarity between those concerned. It's the sort of thing you might say on the sofa/ settee at home. "Budge over" is slightly stronger as a command to my ears, conveying a mild degree of irritation.
budge up
(British English, informal) to move, so that there is room for other people
synonym move over
Budge up a bit!