As a divorced man or woman and you are talking to someone 15 yrs younger?

I am talking to this guy who is divorced and he is 40 and I am 25. He has three kids..a son that is 19 and two daughters who are 17 and 9. When dating someone so close to age as your oldest do you put into consideration the feelings of your kids? And for me being the 15 yr younger person should I be weary that if things get serious between me and this guy that his kids are not going to like me?