On a conventional loan, you'd need to have at least 5% down payment from your own funds (checking, savings, stock sales, etc) and you can get a gift to cover the rest of your down payment and/or closing costs
That's not a lender specific requirement. It's a standard Fannie Mae/Freddie Mac guideline which means it applies to ALL conventional loans.
So if I read this correct, you're looking to purchase a home for about $240,000 with 10% down? In this case, you would need $12,000 of your own money into the transaction before you could use a gift.
With those credit scores, you may want to look at a 3% down conventional loan. The rate will be low and the PMI much more reasonable (about 35% less than FHA). Then you could use a gift later on to outfit the home with furniture, applicances, etc.
Shoot me an email if you would like to speak in more detail!
If you would like some referrals for mortgage information, just let me know. Kathy firstname.lastname@example.org.