g-man said:
^ avoid a pusher spreader. The hand held spreader is better.
I'm not really trying to be argumentative, but the issue doesn't come down to just whether the spreader is a pusher spreader or a hand-held spreader.
There are good and bad pusher spreaders as well as good and bad hand-held spreaders. Also, a really big factor is the application technique, attention to detail, and basically just whether or not the person doing the application has the knowledge / skills / care to make an even application.
A careful, skilled, knowledgeable operator can make a pretty good fertilizer application with even marginal equipment if they know how to adapt to the deficiencies of the equipment and do so when making the fertilizer application.
Conversely, even the best equipment can result in a horrible misapplication if used improperly.
That said, particularly for small lawns, a hand-held spreader is capable of delivering very light even coverage in the hands of a skilled user. However, without some skill and know-how a hand-held spreader is also capable of being mis-used just as badly as a push spreader...