Another vote for putting off the 4 month vaccinations, it would just be a few weeks late, which isn't a huge difference. I would consider getting something short-term to bridge the gap if you want to do then in Jan, but I wouldn't do them 2 months early. For one because your LO will be that much smaller and fragile, and another is because he or she probably already had some 2 month vaccinations and I think there are recommendations around spacing these things, unless you are on some sort of alternative vax schedule. (I will not go off on a vax/non-vax tangent here, and encourage others not to, either. Because people get all touchy about it. OP's decided the LO is getting them, the timing is just wacky.)
About 5 years ago, DH needed stitches after a glass carboy fell off a shelf in our basement and rebounding fragments of glass lacerated his hands quite badly. The hospital and doctor bills were insane, and it was after he'd left his job over 60 days prior. I was on an indemnity plan at the time, and was doing contract work, and DD was covered through state subsidized insurance. We got insanely lucky that someone someplace screwed up, and the Cobra info/packet was never mailed after he left his job. Apparently the 60 day election period starts on the later date of when your coverage ends, or when you are furnished the election notice. So we called up, said we never got it, had them send it, signed up, got coverage retroactively, and saved thousands on the ER visit and doctor bills. Phew.