Cheery Christmas!

I was thinking about various holiday greetings recently and found myself comparing the phrases "Happy Hanukkah" and "Merry Christmas." "Happy Hanukkah" has such nice alliteration to it as opposed to "Merry Christmas." I did find an explanation of "Merry Christmas" and other Christmas phrases here, but I'm going to start using "Cheery Christmas" anyways. It still isn't alliterative, but I think it has a much nicer ring to it than "Merry Christmas." What do you think?