It's good that you qualify this as a sitcom, as there won't be any 'clear goal' for the series.
I find it excruciatingly difficult to come up with loglines for sitcoms, even existing ones. Didn't Jerry Seinfeld say that SEINFELD is a show 'about nothing'? Even he resorted to a cop-out!
This is not a bad attempt, I must say.
Because you've said "hating the world...", you may drop "cynical" as it covers pretty much the same flaw.
"Somewhat peculiar" is a good description for the blurb in your marketing but for development purposes it doesn't really contribute much as in pretty much every sitcom the characters are supposed to be that...
"with varying results" suggests that the results are mostly unwanted but perhaps you can find a more strongly comedic way of putting it?