My grandmother, for example, found her big screen t.v. Garage sale shopping is an art, and if you have the patience and look in the right places, you can save TONS of money. Some people wrinkle their noses at garage sales. Rent new appliances. Depending on how long you're staying in this new location, you may prefer renting your appliances.
Some people rent appliances when they're only going to be in a certain area for a couple of years.
This makes it easier when it's time to move again. The only real disadvantage to renting is that you are restricted to renting what the store has to offer. Some of them will suck you in, and you'll end up paying more than double to these companies in the long run than if you would've just purchased the appliance all at once. Just do your research before you sign a contract, and read the contract before you sign it. Buy new appliances.