I doubt he will. Ticket prices are more expensive up there. Lived a year in Calgary and got tickets in the middle or upper bowl for the price I could have had for the upper part of the lower bowl in LA or SJ. Can't remember exact price but LA's ticket prices aren't all that bad.
Also, holy **** is Vancouver expensive. Tried planning a roadie from the bay up there to visit a friend/go to a game/drink Granville Island but tickets were $100 for the absolute nosebleeds. Per seat.
LA is dirt cheap compared to Edmonton. I live two hours from Edmonton, so when the Kings are in town I head up for a game. This year I figured I'd get front row seats right against the boards. One ticket cost me $300. Comparatively, last season I went to Staples and bought a ticket in 117 9 rows from the ice and I paid $150.
Being from the OPs area, I can help a bit with the travel advice. Fly into LAX, you can fly into John Wayne Airport in the OC, but out of Edmonton, LAX can be direct on WestJet and to get into the OC, you are looking at a wait in Calgary.
As far as where to stay, it might make a difference depending what else you want to do in the LA area. If you are thinking Disneyland, you might want to stay in Anaheim, but if you are thinking Hollywood or a Dodgers game etc. stay in LA. I'm assuming you are planning to rent a car, so it is likely easier to commute to the Honda Center than Staples Center. Whatever you do, give yourself plenty of time to get there. Traffic can be a nightmare in LA, if you think the Whitemud/Yellowhead Trail is bad during rush hour, the LA freeways are much, much worse.
A tip about driving in LA, I found driving around LA was much easier if you tell your GPS to avoid highways (which is what the freeways are). Taking surface streets, traffic isn't as heavy and you see more of LA this way. You'll have to take the freeways to Anaheim though, it can be done by surface streets but Google Maps had said it was a 3 hour drive compared to 15-20 minutes (in optimal conditions) by the freeways.
I stayed at the Omni Hotel at California Plaza in downtown LA. It is fairly central to everything and offers a free towncar service that will get you to Staples Center, so it saves on parking at the arena. So might be an idea unless you feel the need (or your wallet feels the need) to stay elsewhere. There isn't much in the way of things to see or do around the hotel though, but California Plaza has a few places to eat and a convenience store. During the day, you can walk down to Broadway and there's a couple fast food places too. But even though it is a few blocks, the hotel warned me in the evening to take their towncar as it isn't safe to walk there.
I have no idea about around the Honda Center as I didn't get that far into Anaheim though. I only went to a college basketball tournament near Disneyland at the Anaheim Convention Center. But as far as places to eat go, West Katella Ave. seems to have all your chain places.
As far as the actual Kings game, I find that Kings fans are much the same type of fans as Oilers fans. What I mean is that nobody bothers the visiting team's fans unless it is their arch-rival. So I don't think you'd have any problems cheering for the Oilers. The game I went to was against the Hawks and I'd say at least 15% of the crowd was Hawks fans and I never saw any problems. The only annoying thing I noticed in LA, is that they do the in-arena promo stuff at the top of sections and block the entire exit off. I got up to use the washroom at a whistle and the top of my section was stopped and they didn't quit until play started and I missed the only Kings goal that night.
The best part of Staples Center, compared to Rexall Place, is that the concourse at Staples is very wide. You don't have to get up 5 minutes before the end of the period to go get a beer, food etc. and expect it to take well into the next period to get back. I got up during the intermission, made a lap of the building, bought my drink and sat back down and I still have 5 minutes left in the intermission.
Also, make sure to get to Staples early and check out LA Live. It was kind of cool wandering around it and there's a few bars and restaurants to eat at. Also, there's 4 or 5 statues out front of Staples that are cool to see. I'm a huge Gretzky fan and they have a Gretzky statue out front. Good for taking pictures and whatnot.