I did a very quick and dirty layout on paper of what I'd need, and it's:
10 LEDs (yellow) - Star
13 LEDs (green) - Tree
9 LEDs (blue/red) - Lights on the tree
...and maybe a dozen more if I've got the resources to make a couple of presents under the tree.
32 LEDs off of, what? 13 or 14 outputs doesn't look good enough. If I used the breakout board, though, that would take care of the tree circuit, and the rest would have to be powered in 1's and 2's by individual outputs. Does that sound like a feasible plan? It seems a bit awkward but for now I'm willing to take something that's possible and work on making it efficient later.