If downpayment is close just remember you are getting a commission and I know on our last purchase our mortgage company allowed us to use the commission for part of the downpayment.
FHA allows for a low down payment ( 3.5% ) has very liberal UW guidelines, and FICO does not impact interest rate to a large extent. BUT it does have higher mortgage insurance(PMI) than conventional loans and starting in April the PMI will be for the life of the loan
Conventional Loans typically require 10% down ( 5% for A++ borrowers) but the mortgage insurance cost much less and can removed after 2yrs and demonstrating that the loan does not exceed 78% of the value.
The simple version is FHA has lower costs to get in but higher monthly costs, while Conventional loans have high upfront costs but lowered monthly payments.
If you have VA eligibility a 100% , no PMI loan is the best in the market.
Feel free to contact me with any other quesitons.