You could probably install Money 99 on Windows 7 32-bit if you have the installation disk, but you could also move to a later version free. The sticky thread at the top of the forum will show links appropriate to your country.
If in the US, you may have to make use of a technique described in
http://support.microsoft.com/kb/913108/en-us to upgrade to Money Plus Deluxe Sunset.
In any case, regarding Money only copy your recent *.mny and *.mbf files from the old computer to the Documents folder on the new computer. The installation provides everything else.