Cautionary tale here OP.
When my mother was in her late 50s, & I was in my mid 30s with her adorable dgc clustered sweetly around the tree, I asked her why she kept turning down my invitations to Big Family Christmas.
She explained that she had cooked Xmas Dinner for her own large family of older siblings as the youngest from age 15, carried on doing so for her own mother AND her MIL as an 18yo bride, carried on doing so as a dutiful youngest daughter in her early 20s through morning sickness & November babies, smiled along when her MIL insisted on Doing It Better On Boxing Day, & had her bottom pinched by drunken BILs who had been dispatched to the kitchen by her sisters to 'help', then later taken everything over completely once her dm & then MIL successively got frail; so for roughly 30 years cooked Xmas dinner, for two days running, for large crowds including people she disliked, in someone else's knackered kitchen.
By the time both my grandmothers had died, my mother had decided that she'd had enough of EVERYONE'S shit when it comes to Xmas Dinner. After decades of cooking it & hating it, she just wants M&S in front of the telly with dad (who did not exactly cover himself with glory - his requirements for those years appear to have been a quiet life & no one making him eat sprouts) & anyone with different notions gets told precisely where to put them.
No, she does not want to come to me OR my brother because she promised herself No Cooking & Also No Travelling Ever Again. Also Fuck Turkey.
My dB & I would both love to invite her & df...but she's said NoThankYou, she's explained why & we get it...& we know she has no intention of relenting.
OP, you also have a veto. My mum says now that if she could change anything about those 60s/70s Christmases, she'd have just informed everyone that she was having Xmas with her dh & dc, & put her foot very firmly down & done it her way.
Exercise the veto! You're very busy, shame everyone's plans don't align, ah well, that is what the week before NYE is designed for.