Your lender is going to be your best source of information about how you can minimize your down payment. There may be down payment assistance programs or grants for which you qualify. Some programs require that the homebuyer take classes.
Your city or county may offer some kind of homebuyers assistance programs, so check the sites.
Please keep in mind that some programs have a limited amount of funds, so check availability. If funding has run out for the year, ask if you can be added to a wait list for when funds become available again.