In the winter I carry my 8 gal pot inside, down the basement stairs, and to the laundry tube and chill that way. I havent had an accident yet but I'm waiting for the day where I trip down the stairs and ruin the carpeting and my beer. But its more convenient that way bc I also clean inside anyways. But If i switch to 10 or 15 gal I wont be able to carry that wort around. There is a spigot in our garage that I havent gotten to work since we have moved in. The weather in the winter has been up and down, so i'm sure I could use a hose on a day that is above 25 F and the hose shouldnt freeze if I use it for just a few hours.
I assume you meant laundry tub... not tube. ;-)
My first thought: STOP CARRYING NEAR BOILING WORT AROUND! You're right... sooner or later, a disaster will happen. Best case scenario, carpet is trashed. Worst case scenario, 2nd or 3rd degree burns. :-(
Figure out how to get that spigot working in your garage, and use an immersion chiller to chill in the garage. (Just run the discharge hose down the driveway?)
Then, if you're hauling your kettle around, you're only risking a mess, but no burns.
For purposes of cleaning:
I brew on brewing on a nice 20 gallon kettle... that doesn't fit in my laundry tub, due primarily to the valves sticking out of it.
However... one of the best parts of my system is one of the easiest and cheapest, and that was simply adapting my tub to clean things that don't fit inside it. My laundry tub faucet had a garden hose thread, which is a pretty common feature. I bought a garden hose thread to camlock adapter, and use a camlock with a 3 ft silicon hose (1/2" diameter) on the end of my faucet. I clean the kettle on a table next to the laundry tub, using the silicon hose to reach and fill/spray into the kettle. I just use a few gallons so the weight doesn't get silly, put some hot water in, cleaner (like PBW) and use a sponge... and when I've given it a good clean, tip it and dump it into the laundry tub. I can then rest the kettle on the side of the tub, semi-inverted, and spray to rinse so that it runs back into the tub. You can pinch the silicon hose to get a nice hard spray for rinsing, or for initially knocking the trub out. Great for cleaning fermenters too.
SO, if you have a laundry tub already... put some kind of a fitting on the faucet to enable you to attach a couple of feet of some kind of hose, and you'll be in business. Even a hot water garden hose would work just fine.... just buy a 6 foot length and cut it to the length you want. Cheap and easy.