I should say, my approach is that I'm from Denmark, so I've been in your - sort of - situation years ago. That started back in the days prior to internet booking though, so that entailed skipping classes to call the ticket office again and again and again at the exact time they opened sales hoping to get through.
I come over 4-5 in your average season, so I've had a fair bit of experience with the online ticketing as well. A few pieces of advice beyond the stuff mentioned. Once we move in to NWHL, I'd suggest to have made a decision on where, down to the section, you'd prefer before needing to go to book, so you can reserve the seats as quickly as possible. Also, if you have the opportunity, do go ahead and have a test run on another match, before the first one, you'd actually like to book. To get a feel for how quick you've gotta act, where you're needing to click etc.