I would postpone dating till after this month too. December is packed and stressed. A date is stressed enough without a calendar filled with family obligations and shit.
Keep on chatting. See what happens in January. Maybe the two of you by then think friendship is a better option, maybe you'll date.
That.
...and any holiday interaction with extended family at this point in time in your friendship can be lethal.
I didn't have any holiday interaction with my ex's family until we were engaged...which I don't ever recommend doing either.
I spent the next day going...
"OMG, OMG, WTF am I doing?"
"WTH is wrong with these people?"
We are still together somehow, but they are 90% of the reason we ended up divorced.