Well, making the kids happy is making everyone happy in a way. I've had the same problem recently, my internet addicted 9 year old insisted on a place with wifi but we prefered a campsite. As a result, 10 days of holiday turned into a total nightmare, he gaves us hell. For rental house and villa I usually prefer this site: https://tranio.com/rent/ For cheaper options I strongly recommend Greece, you are not going to believe how cheap is food etc. So, good luck!