Problem solved - my Dad built me a cart to tow the lawn mower around. This was horrifyingly embarrassing for me. Especially on the few occasions when I took a corner too fast and tipped the lawn mower off. Let me tell you though - with the weight of a lawn mower behind you, a bike can really FLY down the one hill that exists in the midwest.
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I mowed lawns for several sticky and muggy summers, including one cicada-filled summer where I ran while mowing the grass to try to keep the creepy, flying bugs off my legs.
Funny how time changes things. I now see this as one of my best childhood summer memories. I'm glad I wasn't a "cool kid" and that I got to learn the value of hard work and creative transportation. Plus, making all those nice diagonal lines in the bright green grass is pretty fun!