One way for a young family to get the most home for their money is to purchase a "distressed" property. With research and due diligence, you may just end up with a larger or nicer home than you thought you could afford, but without the extra price tag. One way to accomplish this is by purchasing a property that is in foreclosure.
You may want to look for an REO Foreclosure.

What's an REO Foreclosure? This stands for "Real Estate Owned", or in other words,property that was foreclosed upon by the bank holding the mortgage, and now belongs to the bank. But, the bank is a bank and not a real estate investment firm. They are simply not in the business of residential real estate and have no interest in the home other than to recoup their investment.

How does this benefit you? Well, more than likely the previous owners of the property have been making payments on it for some time, bringing down the amount the bank was owed and increasing the equity in the property. Since
the bank is only concerned about recouping what they are owed and not really attempting to make a profit, then you can essentially reap the benefit of the equity in the property and purchase the home for what is owed which is likely well below current market value.

This approach while simple in theory does require research, time, fixup, and perhaps even cash upfront. This approach is not for everyone, but if your situation allows for it, you may be able to snag a great deal on a nicer home than you could otherwise afford.