As a general rule, later in the season will have more snow because it has accumulated throughout the winter. Having said that, a couple of years ago, the resorts had a 70 inches of snowfall in October. It all depends and every year is different. Later in December is usually better than early December. But you could have a huge storm the last week of November with epic conditions and then it won't snow again for three weeks and a lot of it melts off. The point is, it's difficult to predict.
Park City has a much better overall night life and dining experience, but also a lower elevation than Snowbird and Brighton, so take that into consideration. They do a good job of making snow and the resorts are open by Thanksgiving most years. Still, plenty of early season conditions will likely exist and some terrain might not be open.
I would go ahead and book it and keep your eye on the weather a couple of weeks before you decide to come out. If there is snow at Brighton but not as much at PCMR, it might be worth the hour drive. Or maybe PC will be great and you'll find a lot of terrain open and ready to shred. Can't really know until the week of.
Usually lift tickets are the same throughout the year. I know some areas spike their pries on holidays, etc, but I haven't heard of them doing that in Utah. There are several outlets to get discount lift tickets. From rental and gear shops to grocery stores. Or try KSL.com classified section. I bought a couple of 20 lift tickets last year from someone that couldn't use the passes. Might not be as many around earlier in the season, but it's worth a look.