Fun little puzzle

This position just came up in one of my games.

What's white's best move?

Is it Qg5? If Kh7, Qxh5+. Anything other move, then Qh6.

On second thought, Ng5 also wins. Followed by Qxh5

try Qxh5 first. Its more forcing.

Qxh5 is correct. It's a mate in 4.

But all three solutions work, right?

classic mating pattern, this one is a must-know. It's in a lesson inside the first Yusupov book.

Range blasts only Qh5 I think will be mate in 4.
The other moves win but it takes longer I think.

Black might play ...Qb8 threatening to take on h2 in some of the other variations.