We always have services on Sunday, even if it's Christmas.
I've always found a church holding a "Christmas Day Service" so that we can attend church on Christmas. I can not imagine a church canceling a Sunday service because it's Christmas.
WHAT???!
No service on Sunday BECAUSE it's Christmas? For crying out loud, that's the one day of the year many Catholics ever GO to mass!
My parish (Catholic) is only having two services instead of the usual Sunday four (five counting Sat night) but is having three services on Saturday. So total of five services over the weekend. And, of course, Mass is celebrated every day (except Good Friday when there are two services but no mass).