After watching a lot of streams of this (most of the streamers I watch are playing this at the moment), I'd recommend holding off for a few months until they patch the bugs.
The game is a hot buggy mess at the moment. Only one streamer didn't have a game breaking bug (in many cases, multiple game breaking bugs) that required restarting the game.
A few of them got so sick of the bugs combined with the shitty story that they aren't even going to bother finishing the game since better games are coming out. Even Cohh, who went into this expecting a bad story said how much he was disappointed by the story (OTOH he really liked the gameplay) after finishing the game. BTW - these are all people that have finished BL2 multiple times. Most say they'll eventually finish the game, just not right now. Right now they are sick of the bugs and the shitty story.
One of them (sponsored by Gearbox with a permanent marketing deal) is now finding ways to "break the game." Basically he's found some builds that make Mayhem 3 (basically the hardest difficulty) easier than normal mode (which is already really easy). He spent 7000+ hours in BL2 and expects to do the same with BL3.
So, basically everything from soft-locks, bugged audio, clipping through the world, bugged physics, and even people losing their saves. Just today I was watching as Admiral Bahroo went through a section of game where Tyrene's portrait was bugged and stayed on his screen. This prevented ALL audio dialogue from any other characters while he was doing missions. I gotta say, it's weird when you watching an in game cutscene without the voice dialog. It's really weird.
Thankfully, most of them aren't going to streaming this anymore either because they finished it (Cohh) or because they got tired of the game (most of the others). So I won't have it in the background most of the time.
Hell, it got to the point I started watching streams of the COD beta just to see something other than BL3.
Regards,
SB