Are you? Because we thought, but we weren't sure

Are you? Because we thought, but we weren't sure, but we're not just that's cleared up.  We just don't want offend anybody.

This is something a I think a lot of people go through during the holiday season. Do you just say Happy Holidays to everyone or do you get more specific on your faith and say Happy Chanukah, or Merry Christmas? I have to say, the south, Merry Christmas is the go-to phrase; which is CLEARLY apparent by the amount of people who have reindeer antlers coming out of their car windows and red noses on the front. Don't get me started on the ones that actually light up.
Back to the original headline.  We have moved in our new place and have met some wonderful neighbors.  As the holidays grew closer we came to a conundrum I said I thought they were Jewish, my mom and husband didn't  So I got the little girl a present, but put in a Santa bag, but before Chanukah just in case.  I have been visiting my parents all month so we have no decorations up, but the little girl did come back with a gift for Vivian that said Happy Chanukah.  Let's try to decipher this through decorations.  We have a red bow on our door - and that's it.  They have multicolored lights and a blow up snowman... this says non committal to me.
I am determined to find out one way or another.  I'll let you know