Usually for an apartment they just want to know how much money I make to see if I can afford the rent....they need a credit check etc but I've always rented places that have many buildings in one town so it's sort of a more official streamlined process. If you're looking at rooms there is much more chit chat want to get to know you so it's more complex...I was often a student at the time so I didn't have a job in some cases. People love students...take a free online course and now you're a student...One of the tricks for people on disability is to mention a hobby that can also be considered an occupation...ie do you write, are you an artist....do you work with computers or do photography....you can't list it on a form as a source of income unless you get some that way. When people ask about your job it's a shorthand way of asking who you are so you can just say well I used to do X ....but now I'm doing art...you can even say that your money comes form the government right now....people might just assume it's unemployment and you are looking for something...vague is good...

Some places will need proof of income but a lot of them just run a credit check if that is good you should be fine.