Fancy wire and tools aren't critical when you're starting out, but you should at least buy some wire that is good quality and a basic beading plier or pliers set that includes crimping, cutting and bending capabilities.
Other than a firm surface upon which to work, you'll only need a pair of small needle-nosed pliers and a small pointed instrument like a watch resizing tool, an ordinary pushpin or a very small screwdriver.
In order to get the strings out of the tuning pegs, you can either cut the string with wire cutters (or a pair of pliers) and then run it through the hole, or try to guide it through without cutting.
Once you've finished the safety guidelines above, the actual repairs usually require nothing more than a standard screwdriver, wire strippers and sometimes a pair of heavy duty needle nose pliers.
It could be that the hinge is stretched out or perhaps a screw is loose or missing.If you determine that the hinge is stretched out then use a pair of pliers to carefully bend it back into place.