The King of Town's Grill
From Homestar Runner Wiki
The King of Town's Grill is the barbecue that belongs to The King of Town. The Cheat lives and sleeps in it, but he spends most of his time in the House of the Brothers Strong. Strong Sad thinks it's a pretty nice place, but none of The Cheat's shirts fit him. The Grill is also home to Cheatsa Pizza, The Cheat's own pizza joint.
It is possible that the grill may also contain The Cheat's house in an expanse of hammerspace since neither Strong Sad nor a party of pizza-eating hot girls would normally be able to fit inside. Another theory is that the grill is similar to the Doctor's TARDIS.
The grill appears to be a Weber charcoal grill (or a knockoff) based on its distinctive shape and coloring.