Don't waste your money on an electric chain saw. About all those are good for are trimming a few limbs around the yard, they don't have enough guts for any kind of firewood cutting.
If you're serious about doing it yourself and think you will do it in the future, buy a good Stihl or Husqvarna, 16"-18" saw plus a few extra chains, protective chaps and a loggers helmet with ear muffs and face shield. Wear some foam plugs plus the muffs if too loud. If logs have any size to them, you're going to need a way to split them too.
Stay away from the cheap homeowner grade Stihl, Poulan, Greenworks, Echo, etc., they will not hold up and don't cut nearly as good. If you are against spending enough money to get a quality saw, and noise, etc. still bothers you, I'd seriously consider staying out of that type of work and paying someone else to do it or buy firewood.
Don't overlook renting the equipment a couple times to give yourself a feel for what is really involved and what type of equipment works and doesn't work.