If you are going for a rehab loan, again, there is an FHA 203K loan out there but you need to put at least 3.5% down and then the repairs can be rolled into the mortgage as long as the home appraises for the value with the repair estimates. But the caveat with this (I believe since I'm not a mortgage broker) is that the repairs would need to be done by a licensed contractor - so you may fit that description or not, so that is something you would need to talk with the mortgage broker about as well if asking about this 203K loan. Also, your credit scores are going to be important with what type of interest rates you'll get for the loan if approved. Many banks are looking for at least 620 or higher, even better is 680 or higher. Start with maybe your local bank or credit union and see what they have to offer since you already have an account with them. Then start asking friends and family members for referrals since they have already worked with them or know them and can account for their services and professionalism. I wouldn't talk with more than 2 or 3 people so your credit report doesn't take a hit for the inquiries, but it's a good idea to get a few options and then choose one that best fits your needs. Good luck!
I am not in Illinois, but I would talk to a mortgage broker or someone in your bank if they do mortgages. My state of Massachusetts has a MASS Housing program that still does 100% financing options with certain income levels and credit scores. There are FHA programs out there, like 203k where you can put some money down and roll the repairs into the mortgage amount. In this marketplace, unless you have some cash saved to put down on a house, it could be tough to get approved for a mortgage. But you won't know that until you talk with a local mortgage professional - and make sure it is local and not some company you find online with representatives that may not even be in your state. Good luck!