Snow Leopard single-user question

Hi all.

I have bought myself a copy of Snow Leopard, single user upgrade version ($29). I have not yet installed it, but I'm curious:

Lets say I install it on my MacBook Pro and that in a few months I buy a SSD to replace my current HDD. I would probably opt to go for a clean install (I am pondering whether or not to do it now) and copy over some important files. Would this work? Or would the install disk see my new SSD as another computer?

Thanks in advance.