The first thing to do when you want to rent low income housing is to contact your local housing authority. They will be able to tell you places to look and what the requirements are to rent low income housing in your area. There are maximum income requirements, as well as family size and other aspects that will determine your eligibility to rent low income housing in your area.
There are many website that will help you rent low income housing. Affordablehousingonline.com is a popular place to look. Probably the best place to look is on the government website HUD.gov as they are the true authority on the subject.
When you find where you want to rent low income housing at fill out the application and provide all the documentation they require. This will usually include pay stubs and income tax returns to prove that you qualify to rent low income housing.
Follow up with the with your application after a couple of days. Do not just wait to be approved at this one place. Keep on looking for other places to rent low income housing while you are waiting to be approved. That way if you are not approved you will have a backup.