There are many styles of vegetable peelers so it won't matter if you are left handed or right handed. One thing is for sure though. No kitchen is complete without a couple of vegetable peelers.
Another great kitchen tool that you will find invaluable is a spice rack. Quite often they come with just clear bottles and a set of sticky labels with the names of various spices so that you can put your own spice set together. This is a great idea if you have your own favourite herbs and spices.
A pair of tongs is very handy for turning meat when cooking, as well as serving salad on a hot day. Buying two pairs is not a bad idea because then you could have one in metal and one in plastic.
Don't forget when compiling your list of kitchen tools to buy a grater. This little gadget will not only come in handy for grating cheese, but is terrific for grating carrots for coleslaw as well as other vegetables.