And I don't want to clean my equipment. But it comes with making beer, so I do it.
I don't see good results from ice baths.
Agreed. Using ice baths for anything over 2 gallons seems too slow and impractical to me. So get an immersion chiller. It's $50 worth of copper and fittings, and an hour of your time.
I'd buy a chiller but I don't have the space for another piece of equipment.
Mine fits inside my (rectangular cooler) mash tun when not in use.
I also don't like carrying around a pot full of hot wort.
Totally understandable. So don't. My chiller goes into the kettle during the last 10 minutes of the boil. Then I turn off the flame and start the water. I don't move the hot wort anywhere. It just sits on the (extinguished) burner while it chills down to 65 F (about 15 minutes).
After it's chilled, I move it over to the table so I can use gravity to transfer it into the carboy, but I never move it while it's hot.
And my kettle doesn't have a lid.
You don't need a lid to chill. Mine has a lid, but I never use it.
Funny story: The first time I used my boil kettle, I actually did put the lid on after I finished chilling it, to keep contaminants from falling into the wort while I transferred it into the fermenter. I connected the tube to the ball valve, and with the lid on the kettle, opened up the valve and started the flow. In just a few seconds, the lid started to buckle inward and made that bending metal noise. I quickly realized the wort flowing out of the (effectively airtight) kettle was creating a vacuum that was sucking the lid down. I quickly closed the valve and pried the lid off, breaking the seal before it could seriously damage the lid.
If it did I imagine I'd ferment right in the kettle.
Nah, then I could only ever have one batch of beer going at a time. As it is, I have 4 batches in various stages of fermenting, and if the weather is nice, I'll likely brew again next weekend. I can't commit my kettle to 4-6 weeks of fermenting/cold crashing/clarifying every time I brew.
I don't mind at all letting it sit overnight. Its cheaper,
Except when your carboy explodes.
uses less equipment and its effective.
You need the carboy anyway, so the only extra piece of equipment is really the chiller itself ($50). And I don't believe "it's effective" is accurate, as you're missing out on achieving a good cold break, which is important for obtaining crystal-clear beer.