I’m not married yet, but I’ve been chosen to be a bridesmaid at one wedding & I've been an officiant/bridesmaid (during the COVID pandemic). If you’re a woman, the best time to pick out bridesmaid dresses is 1 year in-advance. Fittings and alterations can span anything from like 3 months to 6 months, depending on the time of year you request it. That just means you need to know what your dress is, and everybody else’s. This doesn’t even include the groom.
If you want to deal with both the holiday season, coordinating with family travel during the winter months (do you think most people you intend to invite will make it? Is that even a concern? Is it a small/quick elopement or the big family wedding?). You’d be surprised who in your family thinks they have a say as to what your wedding looks like & who should be invited.
I’d understand if you want it to be New Year’s Day b/c of an anniversary, it’s symbolic of a new beginning, or you maybe want to save money on decorations, since everything is set up for the winter holidays. You could probably get away with it, since family may be traveling anyway - if you don’t live/work near them.
I agree with other people who say that you shouldn’t expect an immediate honeymoon vacation after a Jan/01/23 wedding. But I don’t think OP expects that anyway.
Personally, I’d wait. As long as you plan things at least a year ahead of time, you shouldn’t miss out on potential venues or vendors, etc.
Just keep in mind, some people are planning out their weddings 2 years in advance now due to the rescheduling issues from the COVID pandemic.