I highly recommend a reel lawn mower. Its silent, no gas, and just peaceful to use.
Truth when I first bought the reel mower it worked great at first, but then it really became a struggle after a few weeks. One day I was pushing it as hard as I could and it would just grab the grass instead of cut it; I was sweating and swearing. I was on the verge of giving up on it entirely and going back to gas.
Then I found out entirely by accident that the calibration screws make all the different in the world. Once I had it calibrated well, mowing the yard was so easy it was a joke; it was such a breeze and joy again;
Thus, reel is the best way to go but you have to master the blade alignment (with the 4 screws in front). It took me 2 whole days of carefully experimenting and studying manuals and making diagrams but I now have it down to an exact science. I searched the Internet for a good guide on the procedure and interestingly found little (probably because it is old technology that was more popular before the Internet was around; I would have been better off asking an Amish person). Reel mower maintenance appears to be a lost skill to the general population; At least the Mustachians and Amish are keeping it alive.
Anyway I just took a series of photographs, annotated notes, and made my own custom guide for later reference. I carefully noted exactly which tools worked and which did not. By the way adesertsky, even though they look like screws, on my mower you actually use a 7/16" wrench to adjust the screws not a screwdriver (I tried all kinds of screwdrivers and the screws never budged at all like you said).
The screws are so sensitive that they really need re-calibrated every time you mow or just about every other time you mow. I always test the blades for exactly alignment first before I mow every time, it is really that important.
If you can master the screws, the wonderful world of reel mowers will be unlocked to you. Everyone who says that reel mowers don't work probably say that because they were using one that did not have the blades aligned properly. As a side note, the blades also need sharpened (which is a different procedure entirely from blade alignment), however blade sharpening only has to be done once a year.