My fiance and I found seasons 1-6 of Buffy and 1-4 of Angel for $17 apiece at CostCo. Full seasons. We bought four of them. You may now proceed to pat me on the back.
I don’t think there’s any problem really with watching Angel first. I think Buffy is the better show, but that’s just my personal view, and I’m sure some people will disagree.
About the only issue is that, while Angel does a good job, I think, of letting everyone know who Angel (the character) is in its premiere, there are character appearances after that (Buffy herself on a few occasions, Spike, Willow, Faith, Harmony, Andrew, and maybe some others) where you may miss some things because you don’t have the background on the characters the show kinda expects you to have. But it’s mostly minor stuff. Oh, and there are a few cross-overs in Angel’s first season.
When my husband wants to make me laugh, he does that dance.
We tend to blend it with another episode, though. I call him “Numfar” when he does it. 
Season Four?
Best.
Buffyverse.
Season.
Ever.
You must be crazy!
Favorite Angel line (and I’m improvising here):
Lorne (who will only give Angel information if he speaks the truth): And why is it that you picked (the karaoke song) “Mandy”?
Angel (looking pained): Because it’s pretty?
Lorne (gleeful that he’s told the truth): Of course it is, you big sap.
I recently saw Andy Hallett, the actor who played Lorne, and he’s an extremely normal-looking – actually handsome – guy out of his makeup.
Space used that clip as their Angel promo for years. Including the Wesley canape-hackeysak. Good times, good times…
The Big Gulp demon! The reason I bought Season 3! Well, that and the Burger Loa
At least we will finally get the answers to the questions posed by the final episode. Joss’s Buffy - Season 8 comic launches this spring, and it all takes place post-Season 5 Angel.
Actually, it would be taking place concurrently. Angel lasted one season after Buffy did, so Buffy season 7 would have been concurrent to Angel season 4, with Spike’s sacrifice in the final Buffy episode leading up to his reappearance at Wolfram & Hart in the Angel season 5 premiere.
Man, I hope not. I don’t want to know what happened to Angel and the MoGs beyond the (brilliant) final moment of Not Fade Away. I just watched it again yesterday and it’s such an amazing ending. I don’t want a Spike movie, I don’t want a Buffy continuation (because I thought that despite the problems in S7 the final moments there were amazing too), I’m perfectly happy with the ambiguity.
Jeez, you had to go and point that out, didn’t you? Though I was not **at all ** happy with Wesley’s fate, on the whole I didn’t mind the way the series ended. (Of course I’m the kind of person who liked the end of St. Elsewhere, and in fact liked the ambiguity of the ending of the Buffy episode Normal Again). Still I wouldn’t have minded know whether: Spike made it through okay. All right, and maybe Angel too, a little bit. But mostly Spike.
There have been Angel comics that dealt with what happened to the leads after the season 5 finale, but I’ve heard they aren’t very good and the art looks awful.
Joss has said, and I quote:
“The actions here take place after Angel Season 5 - it’s not the next day when we pick up. The fate of the Angel crew will be revealed at that time.”
From SFX Magazine: If the series is a success, any chance of a Firefly Season 2 comic? Or Angel Season 6? All Whedon has to say to that is: “Man, I gotta write some new shows.”