If you play PvP, then the two professions you need are Engineering and Mining. Engineers can make stuff to get an edge in PvP fights, and mining supplies the main materials as well as plenty of money selling ore and stone.
If you play PvE, then go with skinning and mining and just sell the materials and buy what you need. Since you don't do PvP, all you really need is to gather resources to sell. You can buy any crafted item you need, but you will find that almost all crafted items aren't worth making once the server matures and the market saturates.
Some people will say "I make a ton of money selling X!" Maybe they do for a while, but other people will jump in and start making X too if there is money in it. Then the profits go down the toilet. You will make more money supplying resources to those who are crafting low-margin items.