Before looking at anything, it is essential that you be pre-approved by a mortgage broker, mortgage banker or bank.
I am not speaking of a pre-qualification. A full pre-approval requires 3 years of income tax statements, 3 months of bank statements, 3 months of pay stubs, credit report, etc.
Once you have a full pre-approval, you will know how much you are qualified for and will know what price range to look at.
Once you have a full pre-approval, you will be as good as a cash buyer; your purchase will be contingent upon an appraisal of the house and a contract and you will be considered an "A" buyer.
I am an instructor at Stony Brook and Post Universities and train Realtors and finance majors. I would be happy to provide further information for you when you are ready.