If your credit reports reflect no missed payments on anything for the past 12 months, and your credit scores are fine, then completing the debt consolidation plan wouldn't inhibit your chances of qualifying - you'd have all of the regular programs to choose from FHA, Fannie Mae, Freddie Mac (and VA & USDA if you are eligible). So it'll just depend on how the payment history was during the plan.
Do you know what your credit scores are? How much of a sales price are looking at and how much of a down payment are you looking at putting down? Have you crunched your income & debts to see if you can qualify for the amount you are looking to finance? If you need help with figuring anything out I'd be happy to help.