I shoot ice hockey, so your requirements will be quite similar I'd imagine. Whichever way you look at it, you'll need an f/2.8 (or quicker) lens. That's the only way to get the shutter speeds you'll need to capture moving skaters under arena lighting. If you'll be shooting at the NIC, you're lucky enough to have the best lighting in any arena I've been to in the UK, which is a good start, but you'll still need a fast lens.
For around a grand, I'd recommend any of the following: -
1. Canon 70-200 f/2.8L. Don't worry about the more expensive IS (Image Stabilised) version - that's only useful if you want to shoot longer shutter speeds, and for skating you'll need at least 1/400 second to freeze action. These come up at around £700 second hand. I can't comment on non-Canon lenses, as I've not used them.
2. Canon 200 f/2.8. This is a prime (fixed focal length) lens, so you won't get the flexibility of the zoom above, but a lot of people say that prime lenses are sharper than zooms. It's a great lens, and is cheaper than the 70-200. You quite often see these for sale at around £450, and there's one on eBay at the moment for £400.
3. Canon 135 f/2. Again, it's a prime lens, but it's a very useable focal length for arenas - I use mine a hell of a lot for hockey games, and the f/2 is a massive help for getting decent shutter speeds in dimly lit arenas! You can pick these up for around £550 second hand.
All of the above are 'L' lenses, which means they're part of Canon's "Pro" lens series, which tends to mean that they hold their value very well. So whilst a cheaper Sigma lens might seem attractive now, the resale value won't be as good as a Canon L in 12 months time when you (inevitably!) want to upgrade.
If you need any help with camera settings etc, just drop me a PM.
Cheers
Tredders