FEC Startup-New Amusement Business. We speak with literally, 1,000's of people each year who are thinking about starting a new amusement business, family fun center, children's entertainment center or arcade business of some kind.ither well along the path to fun center startup, or just the genesis of a new idea they thought of on the way home from their child's 8th party invitation at the local Chuck E. Cheese. Where ever you are in that process, we applaud you.