Get an electric one. Less maintenance, more than adequate to handle that sort of thing.
Electric saws are good, but the problem is that you tend to get the cords tangled in your skirt.
We heat solely with wood. I boil maple sap. I cut a lot of wood.
Obviously, if you're cutting a few trees and then never again, borrow or rent.
If you're going to cut a cord or less a year going forward, a 150$ saw from Home Cheapo will be fine. The golden rules for occasional-use suburbanite - keep the chain out of the dirt/metal, and run the unit dry at the end of each year to get all gasoline out. Do that, and you should be good for a long time.
If you're cutting more than a cord a year, then you should get yourself a real saw. And by "real," I mean "Stihl." There are other good ones out there (some guys swear by jonesred, e.g.). But you can't go wrong with Stihl - if it's got the Stihl name on it, it's going to work well. I've had mine for years, virtually no adjustment, starts right up, blows through a 12" log in about 3-4 seconds.
A Stihl MS170 runs about 350, and the price goes up from there.
After having cut wood with crappy chain saws for a few years, I'd say a high quality saw is a must if you plan to cut every year.
Remember safety - wear ears and eyes, never cut above chest height, always be firmly positioned when cutting, never use the saw for anything other than cutting wood (not moving brush, etc), and always, always, always have two firm hands on the saw, with one on the top, behind the chain break safety.
Have fun.