What kind of saw to use for install baseboards and tmoldings?

I had to take out all my floors, cut out some walls, and take out baseboards due to water damage. Now I've run out of money and favors, so although all the major work is done, the little finishing touches like the baseboards and the tmoldings that transition from the tile to the pergo floor still need to be done. I was wondering how hard this would be to do myself? I am a 25yo woman and I'm pretty handy, but I have no idea what kind of saw I would use to cut the baseboards and the tmoldings? Would I need a power saw or could I use something less expensive and scary? It's only one tmolding and then a hallway and bathroom of baseboards.