I started with enchanting. It was fun to be able to have enchants on everything without asking, and it *was* a good money maker. Its slowed down now that people are wising up though. You used to be able to make pretty good money just buying greens and some blues off the AH, disenchanting and reposting the components, but now so many people do that, the profit is pretty marginal.
I'm alchemy now, and its good for money. People like potions. Since I'm also max herb, I have lots of herbs around to make extras with. Its nice for BGs to have that extra healing pot, or AGI pots in instances, or hand a few pots to your party.
When I started a non-healing class, I though alchemy would be really useful for healing potions, but I find first-aid covers that plenty well that you don't need it.