One, you choose your occupation. Two, if you really want to reduce redundancy just use "person/people." Everyone knows if you say "homeless person", that that

One, you choose your occupation. Two, if you really want to reduce redundancy just use "person/people." Everyone knows if you say "homeless person", that that person is, in fact, a person. Seems like an extra word there. If you want to be precise and point out someone is homeless, use "person, who is homeless." If two words and a comma is too redundant for you, see my first point.