When my kids were small, it was family camping trips here and there, now and then. Driving trips to visit family for holidays and such. I didn't buy my first timeshare till my kids were adults, and long out of the house. I found I liked taking better vacations as I got to be a bit more mature. And I only bought when I realized how much easier it was to stay in a timeshare than a hotel or a tent. It's mainly the two of us who travel now, occasionally sharing a timeshare with my brother and his wife, probably because we have similar economic options. Most often, we're traveling alone.
And I really like it that way. My vacation time is very precious to me, and is jealously guarded. I save my vacation time so I can use it to go someplace nice and enjoyable. Coworkers who complain that I'm "always traveling someplace" are the ones who take their vacation time a day or two at a time, and then complain they can't afford to go anywhere.
We generally take two, two-week trips a year. I like late Spring and early Fall for travel. That gives us our amazing Pacific Northwest Summers at home, and we're here all Winter due to my spouse's holiday work schedule. it's not a perfect life, but it works well for us.
If I may offer a tidbit of advice: Don't worry so much about where you go with your kids. They'll have better memories that you were present as parents, who were invested in their lives, than they will because you took them on a trip someplace. You only have 18 years or so before they'll be off on their own life adventures. Value the time, value your children, and make your own memories with them as people. The rest will take care of itself. You only get one chance to raise them right. Enjoy the ride.
Dave