Well... the "easy" way to get yourself a house, is to kill the owner (and/or everyone in the house) and then just... live there.
The hard way, which is alot more gratifying, is to join one of the three great houses:
"The three Dunmer Great Houses that have settled Vvardenfell have distinctive architectures and lifestyles. Aristocratic, warlike Great House Redoran favors a spacious, irregular, organic building style. Great House Hlaalu, an aggressive mercantile culture, strongly admiring and influenced by Imperial culture, prefers simpler, more modern, more densely populated settlements, while bizarre wizard towers dominate mushroom-hut villages of the Great House Telvanni sorcerer-lords. A fourth Great House style, the Velothi or Temple style, is evident in the monumental architecture, bridges, buttresses, and grand canals of the ancient religious center of Vivec City."
When you gain a certain rank in one of those organization, you'll be awarded some land where an appropriete building will be made for you.
Once you join Redoran, Hlaalu or the Telvanni, the other two houses will lose all interest in you, so choose carefully.
Redoran: Good fighters.
Hlaalu: Neutral thieves.
Telvanni: Evil mages.
Outlander is what anyone who isn't a Dunmer/Dark Elf/Drow will be called by the natives. There's no real way to change that, other then to improve their oppinion of you. Improving your standing with the temple will make the religious Dunmer talk to you in a better tone... as an example.
Money without stealing. Well... the obvious answer would be to go on an adventure. <img src="/images/graemlins/smile.gif" alt="" />