CANVAS: I like to use the wrap around canvas boards with either single thick sides, or double thick sides. This way, you have the choice of framing them or not.
BRUSHES: The cheap brushes are just as good as some of the more expensive ones. Choose a variety of round, flat and fine ones. I like to use only synthetic brushes, as I don't support sables being slaughtered for a brush.
PAINTS: I try to use a limited palette of colours for a painting. This helps to keep the harmony and mood of the painting consistent as a whole. If you are starting out, you can produce great paintings with just Cadmium Red, Cadmium Yellow, Ultramarine Blue and a large tube of Titanium White.
TURPENTINE: I like to use either an odourless turps or citrus-based turps as they don't have that terrible smell. Turps is used to clean out your brushes and to thin paint in initial washes. I pour some into a glass jar with a bit of flyscreen shoved into the bottom - you wash out your brushes on the flyscreen which helps prevent the sediment at the bottom of the jar from being disturbed and further dirtying up the turps.
PRIMER: Even though the canvases that you buy state that they are already primed for painting, I always give at least one coat of Gesso primer anyway. It makes the canvas smoother and helps further protect it against the oil paint.
EASEL: I have one huge stand-alone easel for very big paintings, but all you really need is a small table easel and you can sit in comfort!
PALETTE: Those disposable tear-off palettes are great. They last a long time and are mess-free.
PAPER TOWELS: You could use an old rag.
PENCIL (HB) AND ERASER
Getting Started in oils