Find the winning move

Rxc3 winning the rook on b1. Fairly straight forward.

If Qxc3 then Rh1 with mate to follow?

Are you sure about that? I think I'll have to post a follow-up puzzle.

I think after Qxc3 both Bxc4+ and Rh1 are satisfactory ways to mate, and are both mates in 2 if white doesn't want to waste a couple moves throwing away material

hi, correct me if i am wrong,

Nh2+ !!!

Yeah, you seem to be right there.

Thanks for sharing the puzzle. I enjoyed it.

At a closer look maybe not. The answer will of course be Kxf2. What would be blacks next move? I was thinking Rd2 (that's why I thought you were right) but you cannot do that since whites bishop is covering that square.

Qh1 wins too

...as does Bxe2