Handyman was Stanley's "homeowner quality' line - generally considered to be of somewhat lesser quality than their regular line. That said, I've tuned several Handyman planes to work at least as well as any other Stanley. They're pretty nice planes, actually.
To help with identification:
There ought to be a number somewhere forward of the blade - usually right at the toe. It'll be a 2, 3, or 4 for a smoother (or maybe 4½).
Larger planes are numbered behind the tote - a 5 for a jack, 6 for a fore plane and 7 or 8 for a jointer.
On some (not all) older planes, there may be some patent dates behind the frog, but in front of the tots (handle). If there are any there, tell us how many and what the dates are.
Get back to us with that info, and we can perhaps be of more help.
Oh, and by the way - Welcome aboard!