Did you keep your starting Hyur gear? If not, you can grab a new set from any of the vendors listed here (yeah, it's a Lalafell shirt, but they all sell all the racial gear), so at least you're not naked.

Personally, I wear that stuff all the way up to level 10 (since I solo that far and I just can't be bothered), sometimes all the way to 15, mixing in whatever I happen to have left over from other classes and/or whatever I happen to pick up from quests. When it's dungeon time, I'll find a vendor and upgrade anything that isn't level 15ish. From there on, it's whatever dungeon drops I get, and vendor upgrades for any slots that fall behind by 5ish levels.