If a cord is an option, you can get a cheap 14" homelite or Remington for like $50 -$70 I think. I mean, I've used them to cut up telephone poles, so a few trees won't be any issue.
Any gas saw will do just fine, you'll just need to decide how much you wanna spend, and if you wanna buy what you WANT or just what will work.. you'd be surprised just how well cheaper saws perform. As long as the blade is sharp they work surprisingly well. Trick really is to make sure they don't hit anything they shouldn't. Even dirt. The blades spin so fast that if hit the wrong thing for just a second, it can seriously impact the cutting ability of the saw - and that's true for every chainsaw.
But yes, I can tell you from experience that even the cheapest electrics work pretty good. I don't think cordless is a good choice for you. If you have nothing else to use with the battery and charger - you negate the benefit of buying part of a cordless system, and now you're paying a lot just for the one battery you can't use on anything else. If you think it's worth the convenience to pay that price anyway - then go for it.
This thing is pretty decent believe it or not. We used one for like 2 years to cut poles up. It's only $49. You can get a reconditioned one for $39, or opt for the bigger 16" model for $75.. it is NOT a professional or premium equivalent. But it's a good homeowner grade corded saw.. the only thing that did ours in was 7' or water from Sandy cause someone brought it home from work for the storm.. lol.. you really just need to let the saw work at its pace, and not force it down faster then it can cut.. its simple to do, just don't push down so hard that the motor bogs down so much that it's obviously struggling.
https://www.homedepot.com/p/Homelite-14-in-9-Amp-Electric-Chainsaw-UT43103A/202723256
The 16" is obviously a bigger saw, but the 14" is nice and small.. you can buy a gas echo or stihl if you want to, but if it's just gonna sit around for years the electric is probably better. The best corded electric to get right now is a makita. It's built like a tank - but the overload protection is very sensitive and REALLY annoying. Home Depot rents these models out - most likely cause it's idiot proof and will shut off at the slightest degree of excessive pressure.
With years at work using electric chainsaws, we've had the Homelite, Remington, Milwaukee, Makita, Husqvarna, and Stihl... between all the different trucks and crews at work. Handful of gas as well for use on the ground. The electric aren't as fast as the bigger gas saws we had, but like I said - they do work very well.
