The Matrix says:
You can make very good coffee for not much money by adding together a few items:
-a spinning blade or very cheap hand-grinder
The only real upgrade for this setup is to upgrade the grinder for more consistency. Look at a good electric burr grinder or high-end hand-grinder. Some people do not like the texture of French Press coffee and prefer a drip set-up because the paper filter absorbs most of the coffee oils and fine particles.