Thinking more on a team by team basis:
Montreal - Don't have much against them, but with all their cups in the past don't care to see them succeed.
Ottawa - Can't draw up any emotion at all for or against these guys but feel for their fans right now.
Toronto - On occasion I haven't minded the team and am impressed with their upper management the last few years (though trouble is on the horizon). However, I can never get behind this team because of the constant media pandering and the worst fan base in the NHL.
Winnipeg - Will support them as the fans have always supported them and losing their team was a terrible moment in hockey.
Calgary - Occasionally respect the team, and don't mind some fans, but get annoyed about how delusional the general fan base can be and how they carry themselves to be so much superior to Edmonton. Yet for all of their superiority, Edmonton has as many playoff round wins in the past 15 years (which has arguably been the worst 15 year run of a franchise in history) as they do in the past 30 years. As such, I generally hate them. Punk antics like Tkachuk recently have made it easier to hate them as much as I did when I was a kid.
Vancouver - The good fans are great, but man is that a bandwagon fanbase. Also, I have no respect for a fanbase who's greatest heroes tend to be guys like Cook, Brashear, Burrows, etc. Hopefully the class shown by the Sedins through their career make their fanbase strive to embrace better quality people/players.