“Take it to the house” (which that suggestion is a riff on) is a football idiom, meaning to score a touchdown. It’s not connected to the phrase “taking it to [team x].” Either way, it doesn’t work although it would be great for a pickup football game made up of housekeepers.
The Brush league.
Ah I see, I didn’t see the pun.
Maiderers Row
Gashousekeepers Gang
Clean Machine