To do full face makeup I would say that you definitely need this set of brushes:

It contains:

● Foundation brush - long, flat bristles and tapered tip

● Concealer brush - soft and flat with a pointed tip and a wide base

● Powder brush - soft, full and rounded

● Fan brush - similar to a fan painting brush, used for light touches

● Blush brush - fine bristles and rounded head

● Contour brush - if you contour your face

Instead of classical foundation brush you can use any of these brushes to do your foundation depending what effect do you want to achieve:

To do eyes this I would say would be essentials:

Eyeshadow Brush -it is used to pack on powder and cream eyeshadows evenly     on the lid area

● Blending Brush - It is used to blend out any harsh edges for a seamless effect

● Angled/Curved/Flat Eyeliner Brush - It is used to apply darker shades on the  outer corner for a more detailed look or to apply eyeliner

● Pencil Brush - This brush is a much smaller version of the previous blending brush, can be used to add colors to smaller areas and also to blend them in without spreading the pigments too much. One can also add browbone and inner corner highlights it works well with powders.

● Eyebrow brush - long, thin with tougher bristles

● Brow Comb - Keep the brow hairs in place

● Duo Brow Brush - This is a multitasking brush as you can line your upper lash line using the angled end and also fill in your eyebrows. This brush is usually made using synthetic bristles. It could be used with powders, liquids and creams. The spoolie end of this brush helps with blending in the brow product to make it look as natural as possible.