Hey Regginald, there is really more to the science than hooking a panel to an appliance. You said you wanted to reduce electricity usage? The easiest way to do it with solar power if you already have the grid at your home is to use a grid tied inverter, then attach panels to the inverter as you can afford to purchase them. Any power your array is developing will be converted to household AC by the grid tie inverter and fed into your homes existing electrical system. This will offset power coming in from the grid, and your bill will be reduced by the amount of power you are making. Then it doesn't become a balancing act of which size panel powers what appliance and so on.
To use a panel, even a large one, to operate an appliance will require an inverter anyway, and a battery bank, they don't work without either a battery or a grid to anchor to. While it might be nice to have a battery bank, inverter and panel as a backup power source, you would be spending a fair amount more money on all the equipment than just the cost of the panel. The only way around all of this is to use a panel to charge a good sized battery bank, then attach a DC refrigerator to the battery. That type of refrigerator is usually more efficient anyway, but they generally cost a lot more than AC models. I'm guessing you already have a fridge anyway, so why replace it now.
I don't want to discourage you from going solar, but you need to learn more about it before you can ask better questions, and I do want to warn you from getting answers on this technology from open forums like this. It is always amazing to me how many people are willing to impart their knowledge on solar power, having never laid a hand on a panel. That's why you have answers that directly disagree with each other on your question here. We have been powering our home for 12 years now with the wind and sun, and teaching solar power classes at the local schools for about 7 years. Still, I do not consider myself an expert. I would suggest getting a subscription to Home Power Magazine, it isn't expensive, and they have articles from people who have done exactly what you are trying to do, and real experts adding their advice. Then check out some of the sources below as well. We started with that same magazine 13 years ago, and here we are today. Take care, Rudydoo
Home Power Magazine, homepower.com
Solar Energy International, solarenergy.org
Midwest Renewable Energy Association MREA.ORG
The Complete Battery Book, by Richard Perez, library