Dad Wants to Date-OPP

A single father has finally found someone he wants to date. The problem is that he's not sure his children will approve of the woman he is interested in.

Mike & Kate-
I'm a single father in my late 40s. I have 3 grown children. One of my daughters is getting her master's degree and came home for Thanksgiving last week. She brought home a friend whose family is on the east coast and too far to travel to see. This friend is in her mid 20s and we instantly connected. There was a definite spark. I will admit I was and am attracted to her. There were so many people at my house that I don't think anyone noticed how much we were flirting with each other. I could tell she was not just being friendly. She was flirting with me.
All my kids will be coming back to town for Christmas. I extended an invite to this woman telling her she was more than welcome to spend the holidays with us. She accepted saying she couldn't afford a plane ticket home while paying her way through the master's program.
After the girls got back to school, I got a text from this woman. She apparently got my number from my daughter's phone without my daughter knowing. We've been texting for the last day. She seems like a very mature woman and we have a lot in common. We're both looking forward to seeing each other in a few weeks. I'm hoping to kiss this woman at Christmas and see how the physical chemistry stands up.
The kids' mom has been remarried for 5 years and they're always encouraging me to date. I just don't know how they would feel if it was one of their friends. But you can't help who you're attracted to. I've tried online dating and have had zero success. Now I finally meet someone who I like but the circumstances are a bit touchy. My question for OPP is, do I need to tell my children about this? Or should I just see how Christmas goes? I would hate for my children to find out from anyone but me.

Appreciate the advice, and love the show.
Dad