I emailed a group called Urban Shepherds, and they said that the research they've done says what I'm trying to do doesn't work very well because the sheep don't make the grass look really nice like our lawn mowers do.
However what they like to do is try to get people to keep sheep during the whole season long. That way they have a few sheep almost all the time, and at the end of the year they either butcher them, or take them back to the farm to feed them. Some people even purchase their own sheep from them and they provide them with a starter kit.
They suggested I might start an office for them in my area, but of course I would have to see if I would make any from that too. I am trying to provide for my family after all. So I guess my original idea wasn't as grand as I thought after all
Thanks for all the comments and suggestions guys. If this doesn't work out maybe I'll try renting my Dad's lawn mower and weed eater and doing it that way.