You'll want to get a reel mower that has a height range adjustment compatable with the type of grass that you are mowing.
Reel mower propulsion units do not run as long as gas or electric mowers and need massisve amounts of lager when the mowing is done in order to recover.

Yes the reel mower will work what ever the size of the yard. The question is are you up to pushing the thing to completely mow your yard. It is not as easy as the young lady down the street and in the commercial make it out to be

"Will a push reel lawn mower work as well as a gasoline-driven mower?"

No, it will not. Another thing to consider is how level your yard is. If it's hilly, a reel mower will be more difficult to use effectively. Don't get me wrong, push reel mowers work fine, just not as well as powered ones.

Not a chance it will work as good as a gas mower. Not physically possible.

Did you ever think about using a cordless mower, there great for a med size yard and are cheap to use, I've been using one for over 8 yrs and its paid for its self just in the gas I don't have to buy,its light and easy to use
Bear