I am on my own since my husband passed away 15 years ago.
Now my Kids have their own lives, we made a pact the Christmas eve would be our Christmas day, we go out for a nice breakfast with my whole family and then carols service in the evening and then a family get together with aunts and cousins.
I would be quite happy spending Christmas day on my own, but my best friend insisted i go to hers 7 years ago and now wont let me go anywhere else - another tradition, but not one that i would worry about if it stopped.
When i first had my family, we would spend Christmas day with the in laws (my hubby was an only child) and we would go to my parents boxing day. When i was a child we used to have the 'day' at home with my elderly grandparents and then go to the younger grandparents on boxing day.
I think it all a state of mind. I like my own company, so being on my own on the day really wouldn't bother me. but I can see why some people would be upset being on their own.
Why not speak to your children and see of they want to do a day either side of christmas day, then you will either have a nice memory or something to look forward to.