Hm, I just started my own little webcomic and was going to post about it on NG in the near future.
The site itself still has a few wrinkles to iron out, but if you're so inclined:
(this starts it off from the beginning, as it's a Tumblr host)
As for comics that inspire me, the main two I check on regular basis are XKCD and SMBC, both have already been mentioned here.
I'm surprised no one's mentioned http://theoatmeal.com/ yet, especially with all the press he drummed up this year.
http://hyperboleandahalf.com isn't really a comic per se, but it's some of the funniest stuff I've ever read.