Did someone ask for a hockey T&I guy??? Hmmm, that's what I've been waiting on this forum for all these years - just to answer this.
Are you shooting one league at a time or one team at a time? If one league (hundreds of players) I shoot it almost the same as any sport, except that you have to overpower the lighting. For team shots, I use 2 studio mono lights on stands hardwired into the camera and one portable (Nikon or Canon) attached to the camera. I shoot 5300K, f:10 @1/60 All of this is on the ice with a rubber backed carpet runner covering the cords and 8' tables on the ice so that no one will skate into the lights and camera set-up. Even with 3 tables side by side, someone still skated between them last Saturday.
For players, I switched to action shots 3 years ago for anyone older than Novice and a 'face-off' pose for Novice and under. Basically, when the kids can skate and stop without getting hurt. Players are shot with one studio mono light with an umbrella either on a stand just on the outside of the boards, or in some arenas, I can actually attach it high on a girder. The second light is a Nikon on a stand 5' to the left of the camera. Cameras are on tripods. Do not even think about hand-held for T&I on-ice work. If you do, I wanna be there to see thousands of camera pieces go flying all over the ice. One small flash fill on the camera - all the lights for individual players are fired on wireless (cheapie eBay works for me just fine)
Everyone is without helmet or mouthguard. I wear regular rubber soled walking shoes, coat & hat. It does get very cold after a few hours on the ice. It's a bit slippery right after a flood, but you get used to it. You can get slip-on grippers if you are afraid of cracking your head open.
The ice always is bright white, just make sure you are overpowering the crap lights they have in most arenas.
If you are shooting just one or two teams at a time, then I ditch the hard-wired on-ice lights and just reposition the one light stand and tripod. They want you on & off the ice fast, you're interupting their pratice and ice time is very expensive, so be prepared.
Biggest problem is getting rid of reflections. Arenas are surrounded by plexi and you need to keep the team lights up fairly high and the individuals are posed so relections are going away from you. The kids really love the action stuff but make sure that it's OK with league and coaches. I always make sure that it's the coach's decision and we're super careful that player's don't goof around.
Last Sat., we were 12 min. per team total time. That includes writing all their names in order for the group shot and recording each name in order for the individual shots. I'm probably the only guy alive who refuses to have forms & envelopes on the ice. The small kids forget them and the big kids - well, forget them too. Get $$ from parents, not players. For summer sports, players hand me their form, just not hockey.
The samples attached are cropped and nothing else done yet except I brightened up the team a bit, I was a stop under. The small girl was the Sat. shoot, the other 2 are Monday night with one studio light off-ice, one Nikon flash on a stand on-ice and one small flash on-camera. I see that I had the camera flash a bit brighter than it should be and you'll see the reflection of one studio light in the small girl's shot. It's the modelling light you see. I thought I was overpowering it too, but that's life. Pretty impossible to get rid of all reflections. BTW, I'll be editing out the clock in the team shot. The pile of snow in front of the guy is typical after 1 team, I should take a shovel next time. In seeing the preview of this post, the images look a bit soft, dunno. They'll be sharpened a bit at printing, but they look OK on the editing computer.
I should mention that I have never been able to shoot without at least one team having a practice on 2/3 of the ice while I'm shooting - you just get used to it. The older kids aim for me sometimes but it ain't nearly as bad as lacrosse - those balls bounce and are as hard as pucks!!
Anything else???? DougA