Ivory Black
Transparent Oxide of Red
Alizarin Crimson
Cadmium Red or Vermillion
Cadmium Orange
Cadmium Yellow Pale
Titanium White or Lead White
Yellow Ochre
Viridian
Cobalt Blue
Ultramarin Blue

Cadmium Yellow Light
Cadmium Yellow
Cadmium Orange
Cadmium Red
Alizarin Crimson
Ultramarin Blue
Cobalt Blue
Viridian
Mixed Green^[*] (1:1 mix of Cadmium Yellow Light and Ultramarin Blue)
Chromium Oxide of Green^[*]
Titanium White
^[*] - sometimes

I try to use mediums only towards the end of the painting and as little as possible. My usual choice are traditional mediums of 1:1:3 or 1:1:5 (stand oil, darmar varnish, turpentine) with a drop of Oil of Spike of Lavender. If painting mostly light areas, I would use walnut oil instead of linseed oil.

Classens oil primed linen type 13 is my usual choice. Other options include Classens type 15 and 12, as well as lead hand primed linen.

Nothing beats good quality bristle brushes. There are many good choices out there: Robert Simmon's Signet, W&N's Rathbone, Silver's Grand Prix, Raphael, and more. Once you paint with good brushes from well known brand names for a while, you'ld be able to pick good ones from popular brands like Utrecht or Dick Blick for less. I usually work with flat (not bright) brushes and occasionally use a filbert brush as well. Over time flat brushes become filberts anyways.
For Alla Prima painting I use Royal Langnickel 5590 series brushes in addition to bristle brushes.