Setting up a first time kitchen can be quite a task. You don't know exactly what you need and when you do look, there are a billion choices.
A definite need is a 10 or 12 inch Saute/Fry pan.
Try to select one that has straight sides and a lid.
You can use this pan for just about everything from frying up an egg to a frittata. You can also cook rice or chicken in it with ease.
The heavier the pan, the more even the heat distribution.
Select a nice heavy weight stainless steel pan. Try to avoid Teflon coatings for your first purchase if you can't afford two. Later, you can pick up a mate that is teflon.