I use a brush that's in the shape of a rake. One has longer tines and
was used on Pudge the medium hair with an undercoat. The shorter-tined
one I use on Hodge; the one veterinarian says he has medium hair, but he
can't stand the longer tines (not that he likes the short ones, lol),
presumably partly because he lacks an undercoat. At any rate, it removes
a lot of loose fur, and most cats (except Hodge) like it. Hodge is not
fond of anything touching him except on the face, but sometimes I brush
him briefly anyone because he does shed like mad and gets hairballs.

Of course I am going to recommend a metal grooming comb. ;)  But the
Zoom Groom might be the ticket.  Or any short-toothed brush where the
bristles aren't lined up - rather are dispersed across the face of the
brush.  The ones for humans with the plastic beads on the tips are the
ones I like, as well.  They make them in metal and plastic.

-L.