The irony of what you last said is that when I was that young I watched whatever my parents wanted to watch; besides Laugh-In there was also Hee Haw, watched by my father, which is odd considering he was never a country music fan. I can still sing the opening part to the 'pain, despair, and agony' song. :)
Yeah, I like the quick pace of Laugh-In. I have patience for good entertainment, but it seemed like they were willing to risk more for the reasons you mentioned: if it doesn't work then the next laugh will be here immediately. The filming does appear choppy; sometimes the more minor guest stars - those who appear and throw off a one-liner here and there - don't interact with anyone, and sometimes there seem to be leftovers from the episode before. As Gary Owens said, it was all pre-recorded. I've been watching it for a few months and it seems the best shows are the ones from about the middle part of it's run, I'm taking an educated guess from about '71-'73. They put in all the pre-pre-recorded stuff where they'd take out the camera into public and do short, mostly silent bits, and those are usually worth a chuckle, and also it seems the cast from the time, even if minus Arte in the second half of that period, was the best. I've nothing if not gained even more respect for Lily Tomlin, she was brilliant on the show.
I watch here in Portland on Decades network, which I think originated as a digital 'dash' network (like here on channel '6-3') and it's also on cable. They may have a YouTube presence.