I would suggest coconut oil, for a make up remover. I use it to get rid of my Estée Lauder Double Wear and then basic cleanser and my skin is always super clean.
For starters make up tools wise, I would suggest getting the Real Techniques core collection, it's a set of four brushes and they're amazing.
For actual make up, I would get the basics, foundation, concealer and pressed/setting powder. Depending on where in the world you are, you can go to a make up counter and ask to be skin matched with the foundation, which is always the best thing. Failing that, try it yourself, the best place to try out a new shade is the jawline, not the back of your hand as your hands can have more redness than your face.
Good luck