Go to Balmora early in the game-you will anyway if you follow the main plot.
This is a bit cheap, but I've primarily been playing as a thief (just ascended to the top of the guild), so it's actually in character:
just leave them here for now, once you find someone who will actually buy the stuff you won't care about money at all, and if you're carrying it, noone legitimate will trade with you).
In the warehouse is a whole bunch of stuff, including some weapons, all the armor you could ever need at this point in the game, and lots of miscellaneous stuff to sell (including drugs. It's on the shelf behind him, just Sneak around behind him and nab it. Either use the Tower Key ability to unlock the door (it's right across from where you start the game) or steal the key from behind the Captain who gives you your Blades papers when you start the game. Rob all the houses you can get into blind (yes, take everything now, so you won't have to steal/sell trinkets later), and hit up the warehouse. If you need a quick injection of pure cash at the beginning of the game, Seyda Neen has a lot of stuff to sell.
Do quests and stuff and you won't need money since you'll be pretty much living off the land. The best way to deal with money issues in Morrowind is to just ignore it.
