How can I get the best deal when purchasing multiple appliances?

Recently my dishwasher broke. Right after that my washing machine broke. Fantastic luck, right? Is there anything I can do to get some kind of deal when shopping for these types of appliances? They aren’t exactly related but I’m hoping there’s some trick when buying appliances that can save me money. Here are some stores near me:

The Home Depot
Lowes
Best Buy
Sears