Living with a bad-tempered brother. Should I move out of the house?

Don't move out until you can afford to. In the mean time, stay away from him as much as possible. Spend a lot of time away from the house, the library, parks, indoor malls, etc. Better yet, do a lot of overtime on your job. It takes a lot of money to move into an apartment. They have all sorts of move in fees. Find out what it may take to get into one. When you have that plus a sizable surplus, free yourself of the bully.