+2 on shaking it out. If you really trash the tent somehow, use your shamwow ($1 in the "as seen on TV" section of the store and the best hiking towel and when cut into strips the best sweat bandana ever) and a bit of water to wipe it clean when you get a chance.
"That's the thing about possum innards - they's just as good the second day." - Jed Clampett
If it is a free standing tent just pick it up, hold it upside down and shake it out
"Fish Camp Woman.... Baby, I like the way you smell"
- Unknown Hinson
I actually bring a small bit of Tyvek (usually an 8x10 mailing envelope that I've opened up to double the size) and use it as a door mat. I know it sounds crazy but it really works! It keeps the inside of the tent much cleaner, epecially when you're camping in the mud all the time. It weighs one ounce. It gives me something to kneel on when I'm about to climb into or out of the tent. Also gives a place to stand up in your socks without putting your boots on, if need be (keep it dry in the vestuble). I also use it to sit on when there is nothing but mud, or set items on that I want to keep clean. The tyvek wipes clean and lasts a very long time. It's not for people who count grams but it is a comfort item that I bring every time. Also I do shake my tent out every so often, and wash it thoroughly once I get home. Town stops are a great time to give the tent a thorough clean and dry. Leave the tent brush for the car campers :-)
I have not seen a little tent broom on any of these equipment lists.
Broom not needed for a little tent.