Equipment you need in your kitchen
Everyone should be able to cook for themselves, but it's easier to do, if you have the right equipment. When I say the right equipment, I mean high quality equipment that'll last a lifetime. You might need to spend a little money, it'll be worth it in the long run.
You don't need much to get started. You can make most basic dishes with just a few important things.
Here's what I recommend.
A good quality chef's knife
This is your lifeblood in the kitchen, your best friend. A dull knife cheap is a dangerous knife, because they are just unpredictable for cutting anything. A sharp knife just cuts. As long as you start slow and keep your fingers aside, you'll be fine. You'll want the knife to be high quality steel so it retains its edge. You want it to have a little weight and be well balanced. It needs to feel good in your hand.
With the knife you'll also want to have a honing steel to keep the edge as long as possible. You can also buy a sharpening stone for sharpening, but you can also do that by taking the knife to a professional about once a year.
Later on you might want to consider buying a bread knife, a smaller vegetable knife and maybe a filet knife, if you like fish.
Large cutting board
You want your board to be large, because it's hard and frankly dangerous to use a small one. You space to move, cut multiple things and handle larger vegetables and meats. I usually prefer wooden cutting boards, but they do need to be taken care of. Plastic ones are easier.
Stainless steel skillet and a non-stick pan
For basic frying and cooking it's good to have a stainless steel skillet for when you need your food to stick and caramelize and non-stick for other dishes. The skillet should have a thick bottom and some weight to it so it retains heat and cooks things evenly. The non-stick shouldn't be cheap. They just don't last long. Once the teflon starts pealing, the pan should be replaced.
After the skillet and non-stick you might want to consider getting a carbon steel and/or cast iron pan/grittle pan.
2-3 different size pots
This is for your pastas, rices, stews, sauces, soups and anything that needs boiling. You want different sizes for different things and, if you want to cook multiple things at the same time.
Different size mixing and measuring bowls
These are on constant use since most recipes require some mixing and measuring. They should be plastic so they can used in a microwave and they should have a pouring spout.
Different kinds of utensils
You'll at the very least need a spatula, tongs and a ladle or two, but these are the kind of things you'll buy throughout the years as you need them.
Now start cooking!
You have all you need so start cooking some dishes. You'll first need to look at recipes, but you'll eventually improvise some good eats.
Bon appétit and have a good day!