You cant even GIVE me a 2 cycle engine for FREE. I have hated every one of them that I have ever owned, and I end up fixing the damn things more than using them. I am referring to the small ones like chainsaws, weed whackers, etc. I threw all of them in the trash and bought electric ones. If you want to spend half your weekend pulling the damn strings on the tool, get a 2 cycle, but you'll also be spending up to half the cost of a new tool each year to get the damn thing fixed about 5 times each year. No 2 cycle tool will ever be allowed on my property again.
Seeing what everyone said on here about Lawn Boy 2 cycle mowers, I also tend to disagree. I bought one at a garage sale.. It worked for awhile, but like the chainsaws, it needed to be pulled and pulled and pulled to get it to start. I drained the gas in fall. The next spring I pulled that cord for hours, added carb cleaner, changed the plug and air filter and yanked on that cord for a few more hours. By that time, I went and got my trusty over 20 year old 4 cycle 3.5HP Briggs engine mower that is so worn I have to add oil everytime I mow because it smokes like crazy. I had not used it in about 2 years, and forgot to drain the gas. I gave the string one pull and it was running. The Lawn Boy went in the trash, I bought another newer 4 cycle mower, and still got that old junker that always starts, just in case I need a spare.