::: Looks over thread so far:::
Lot’s of good suggestions, let me add and modify a few
Shop Vac Buy a small one. A big one is a freaking bitch to move around when you are working, and you have to have a big spot to store it. The small ones have pretty much the same power as the big ones, just a smaller container.
Ladder Buy a GOOD ladder. Cheap ladders are dangerous. I bought one of these this year, and wished that I had gotten one years ago.
Hand tools A set of screwdrivers, at least three flat blades of different sizes, and two Phillips (P1 and P2). A four in one screwdriver like this is real cheap, and very handy.
A magnetic bit screwdriver with bit storage in the handle, similar to this one is also very handy.
Interchangeable bit screwdrivers are a nice addition to a screwdriver set, not a replacement.
Hammer Get a good Straight claw hammer. 16 ounces is fine. I suggest you stay away from a hammer with a solid steel shaft like an Estwing, they are very hard on your arm and elbow. Stick with either wood, or fiberglass. While we are on the same subject, a Wonder bar is very handy to remove nails, or wood trim, or whatever.
Level Get a torpedo level. If you get more serious into this you might want a 24" level to go with, but for most homeowner stuff a torpedo level is probably enough. A magnetic base on the level is a nice addition.
Electrical Tester One of these will tell you if a wire is open, and will test GFI circuits.
Power tools You can go about 7 kinds of crazy here. If you are starting out, The Home Depot sells a 18 Volt Ryobi kit for under $100 dollars. You will need bits for said drill. A combo kit like this will fit the bill nicely.
On preview, about storage. Again lots of options. You can buy 5 gallon plastic buckets and an organizer like this one to store stuff.