While this site states "online prequalification is free" as should be ANY prequalification you get, it appears to me to be a mortgage referral service. Somewhere in the transaction there must be a fee to the site don't you think?
If that's not the case, perhaps the individuals have paid to be on the site? That being said,.... Don't you want to deal with someone who is successful because of the business they produce not purchase?
Talk to you bank, they give loans. Call some of the big mortgage companies like Wells Fargo or Continental.
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Did you receive that acceptance in writing? If not, then you need to get it in writing. If otherwise, then you need to begin your due diligence: order the inspection, order the appraisal (or have your lender do it if you're betting financing), etc.... more