Artisan Water Soluble Oils from Winsor and Newton are recommended. The particular pigments named here are Artisan brand, however, I am just experimenting with Georgian Water Mixable Oil by Daler Rowney, and am finding them nice and creamy and also a better price point than Artisan Oils. Certainly I like the Cad. Yellow from Georgian. Feel free to pick some of these up instead of Artisan - and let me know what you think of them too - thanks!
Optional Frequently-Used Paints
Turpentine is NOT needed, and is not allowed in class. The water mixable oil mediums are optional. Many professionals do not use them at all. If you want to experiment with one of these, the water mixable "Fast Drying Medium" is recommended for making glazes. Some of the other mediums take months to dry!
Brushes and Palette Knives
I prefer the white or brown synthetic square brushes. Recommended are: 4 synthetic 1 cm. square brushes, plus a couple of 1.5 cm square brushes are a good start. For details, two short round white synthetic brushes are useful. You will also need a 2.5 cm (that's 1 inch) square soft synthetic brush for blending, and a medium sized palette knife with diamond shaped tip for mixing and painting.
Note: Oil painters often buy extras of their favourite brushes (4 or more) so they don't have to clean brushes as often. Better quality synthetic brushes, though more expensive, will last longer and not shed into your painting! I really dislike the traditional hog bristle brushes because they do not hold their shape and tend to shed.
The cheapest way to buy a good quality canvas is from the roll at the art store. Be sure to buy the pre-gessoed one, so save that step. You can then cut them into sheets the size you want to work on. For class the largest we work is 16" x 20", and you may want some smaller as well. You will need a corrugated plastic board, cut to a couple of inches larger than your canvas sheet, to tape your canvas pad sheet onto. This board is essential for oil painters. It makes it much easier to work on, and to transport. (Art supply stores sell these boards.) If you prefer painting on pre-stretched canvas or primed board that's fine too, but the canvas sheet is still recommended for exercises or trying your colours. In that case, just buy a small amount and cut it into 10" x 12" sheets.
Any white palette (I use wax paper over a piece of white cardboard), 1 sheet of graphite paper (dark gray or black), soft pencil (4B), HB pencil, pencil sharpener, sticky tac or hold-it (better than a kneadable easer), ball point pen, large plastic container for water, shop towels (see note below), small piece of hand soap, 3 ring binder for notes, masking or painter's tape, 12" ruler, scissors, and photos for reference (inspiration!)
About Paper Towels
For a while I had been concerned about the amount of paper towels that are used during painting. Then one of my students showed me some blue shop towels that come on rolls from a hardware store. These are much more absorbent, and can be rinsed out at the end of the painting session and reused multiple times before throwing them away. Much better for the environment, and more pleasant to work with than paper towels.