Generally, any 0% down programs are going to have special requirements - either you fall below a certain income level or are a qualified veteran (VA loan). If not, then you could look at FHA (3.5% down) or a conventional 3% down loan.
One good benefit is that FHA allows the use of gift funds to purchase a home. You could get a gift from a family member to assist you with things.
If that is not an option, then I would recommend holding off a few months and saving some money. If you make over $100k per year that shouldn't be too difficult. If it is too difficult then I'd advise you to meet with a housing counselor about setting a household budget so that you can put yourself on the right track.
Hope this helps!