I have an electric chainsaw. It's great actually. I can run an 18" bar on it no problem. The only downside is I have to have a cord plugged into it. It's not a big deal though and I have a 100ft cord as well as two 50ft cords, so I easily reach anywhere in our yard. Gas would be nice, but like you I've run into carb issues. Any power tool that doesn't get used regularly I avoid having gas because the engines don't like to sit unused.I only wish I had equipment like that. In my limited case, I'd probably only use it once or twice a year for actual work. I'd probably end up driving them down the driveway to get mail from the mailbox just to show the neighbors my new equipment!
I don't have a tractor for my home. I don't live on a farm. But, I was price shopping a new small tractor with front end loader early this spring. Long story short, I decided that my riding lawn mower with tow behind carts was probably good enough to meet my limited needs. I am still considering getting an ATV with snow plow attachment for clearing snow in the winter, but we had an extremely light snow last year and I only used the snow blower about 3 times - and 2 of those times I could have just not bothered, but I wanted to run the blower and keep the gas fresh.
Speaking of that, most of my gas yard equipment does not get used enough to keep the gas fresh and the carb clean. Too many of my gas tools end up with clogged carbs. Over the past 10 years, I have replaced almost all of my gas outdoor tools with battery powered tools. The battery operated tools are not as powerful, but they just work every time I slap in a fresh battery.
I used to buy a new gas trimmer every 2 years. Since I switched over to battery trimmers, I have yet to replace any of them in 7+ years. They just keep on running.
For my limited needs, I have also gone with battery chainsaws. I have a nice Stihl gas chainsaw in the shed, but it only gets used maybe once or twice a year. It is to the point where it runs good for about 10-15 minutes, then floods itself out and it done for the day. Our local mechanic tells me it's a carb issue and their shop rate is about $80 minimum to check it out. So I just use my battery chainsaws for most cleanups around the house and they get the job done. I'm pretty much done with gas outdoor equipment and clogged carbs.