Hand tools: Hammer, screw drivers, (get ones with the larger handles) pliers, crescent wrench, dykes (wire cutter)
Power tools: Compound miter saw, Cordless drill/driver (I recommend lithium ion 14 or 18 v because the battery is smaller/lighter), jig saw, sander
Misc. an assortment of drill bits, another of driver bits.
When shopping for your drill/driver etc... Pick them up. Most tools are designed for men's larger hands. There are smaller, lighter weight ones out there (I just went shopping) Might not seem like a big deal, but if you are out ther for 3 or 4+ hours working away, your arms/wrists and shoulders will thank you. Many times big box stores (Sears, HD, Lowes) will have sales on them around Thanksgiving, and you can get small sets of hand tools fairly reasonable.
Have fun. Starting with the small projects is a good way to learn. I always talk to some of the guys at the local hardware/ lumber yards when I start a new project. I go in and just say "hey guys, this is what I want to do, What do you recommend". Sometimes I take a sketch w/some measurements. They have been great about modifying my sketches, giving directions easier ways to do things. In the last two years, I built our pump house, two decks and am almost done with my coop. Yes, I had to enlist the men in my life for some of the "grunt work"... but 90% of it is mine... and most of the screw ups were from the cheap labor!