I'd gladly never visit Next if I could win the lottery instead.
So, my secret for getting in at Next was not to wait until they emailed. I went to the website and filled in my email to request a password, and they sent it. When I tried this last week, I just got an error saying that they weren't ready for me yet.
After getting the password and logging in, I added a credit card to my account to speed up checkout. This is one of the things they tell you to do, since any given opening probably has 500 people vying for it at the moment, and it goes to whomever gets it first.
I kept getting a "We're Sold Out" message, but I kept clicking Tickets on the top left every few seconds, on and off for an hour or so. Eventually they release new seats and you'll be presented with a calendar. Available dates are highlighted. Click a date, and it will load times.
Times are shown below the calendar. If you see a bunch of empty boxes, the time it was going to show was snatched by someone else. You'll want to click a price at the time and table size you want. They vary prices with time of day and day of week. My 7:15pm Saturday reservation was $108pp, but I saw a 9:30pm reservation on a Thursday for $70pp.
In any case, once you have selected the time you want, it holds the reservation for you for 8 or 9 minutes and you can then proceed in a more leisurely fashion to choose beverages and pay.
Check their Facebook page - they usually post when they release new seats, though by the time it's posted, if you're not already on the website trying for it you won't get it.