Subject says it all. What would you buy? The lot is 0.25 acre, half is the house. Usage - weekly or even less frequent. Need it to last 10+ years. Not expensive as well (after all, we are Mustachians). May be with memorial day or even fathers day discounts I can follow one of your advices. Post your brands/models too. GO!
I vote for gas, but that choice won't fit everybody.
Why gas works better for me (your mileage may vary):
1. I'm very familiar with two stroke engines. I know how to prime, start, use the choke correctly, and not foul the spark plug. I replace the air filter once per season.
2. I don't mind mixing gas and oil. I use an empty 32 ounce rubbing alcohol container for mixing 16 ounces of premix. The rubbing alcohol containers stand up well to the gasoline. I have oral syringes to accurately measure the small amount of oil required. I add Sta-Bil, which does wonders for fuel storage life and ease of starting. I also use Premium gas only in all my small engines.
3. I don't like messing with long electric cords, it's too inconvenient.
4. Battery operated ones would eliminate the cords, but battery replacement is expensive. I think a well maintained gas engine is cheaper in the long run and will outlast any battery.
5. I'm handy and can repair the gas engine if needed. Unless you buy Stihl (otherwise a great brand, but they tightly control their distribution chain), parts are cheap and readily available on line. Stuff like priming bulbs, fuel lines, even carburetor rebuilds and replacements, piston and rings are cheap to buy and relatively little trouble to install.
The model I own is a bottom of the line Murray M2500 bought two years ago at Wal-Mart for $69 (it is $68 today on their website). I have .33 acre, but I mostly use liquid edging (generic round up). I use the Murray on the few places that brown grass and bare dirt would be too unaesthetic.
The worst thing about the Murray M2500 is that it is too short to comfortably use. I'm male, but below average height. If you're above 5'8" don't even consider the Murray.
All in all the Murray has been adequate, but at times I wish I had spend a little more and got an Echo.
Checking Consumer Reports, they rate the Stihl FS 38 as a best buy at $130, also rating the Ryobi RY252CS as a best buy at $100.
If you plan to use it weekly, I'd skip the Murray and go with the Ryobi.