Name for the search, not the pun. A name like CityName Foam Parties gets found by the exact people typing that phrase into Google, while a clever brand spends years explaining itself. Check the domain, the state registry, and the trademark database, in that order, before printing anything.
The name is a search result first
Before a name is a brand, it's a line in Google, a Facebook group recommendation, and a word-of-mouth handoff between parents. "Anyone know a foam party company near Springfield?" gets answered with a name, and the name that contains its own answer, Springfield Foam Parties, converts the recommendation into a search into a booking with zero friction. The clever name, some pun or invented word, asks every one of those moments to carry an explanation with it.
This is why the boring name outbooks the brilliant one for years in local service businesses: the search term and the name are the same string. Save the personality for the logo, the copy, and the crew's energy at the door, where it actually differentiates.
The structure that leaves room to grow
The tension in descriptive names is that they describe today: the foam operator who adds game trucks in year two now owns a name that undersells half the business. The structure that solves it is one boring legal entity operating multiple descriptive brands: the LLC holds the insurance, the bank account, and the gear, while CityName Foam Parties and CityName Game Trucks each get their own website, booking page, and Google profile. Each brand stays perfectly matched to its search, and the back office stays singular.
That's the standard shape among multi-brand operators for a reason, and it changes the naming decision from one high-stakes choice to a series of cheap ones.
The three checks, before you print anything
Run the name through three databases in order. The domain first: the .com matching the name, or a close, clean variant, because the name you can't get the domain for is a name you'll fight for online forever. The state business registry second, since your LLC or DBA has to be distinguishable from existing entities. The USPTO trademark database third, searching for conflicts in related services, because a cease-and-desist after two seasons of reviews and signage is the expensive version of this five-minute search.
Then the informal fourth check: say it over a phone. You'll say this name aloud thousands of times, and names that need spelling out, or that autocorrect mangles, tax every single one of those calls.
The line to remember
Pick the name a stranger would type, verify nobody owns it, and let the entity underneath stay boring and expandable. The pun was never going to book the party anyway.