Compact travel camera with usable video

Not expensive. I've already got an old DSLR which I've no reason to change. This is for Mrs B for travel and for taking videos of the kids. It doesn't need to be 4k. Any recommendations? 



an iPhone, seriously.

Compact digital cameras are pretty useless these days and the cameras in most newer smartphones are excellent.

This being rof I too will not actually answer the question and concur with supes. Or get the google pixel, I am a complete Apple fanboi but a family member got the pixel specifically for same reasons as you and the photos are really good. 

If you want to up the quality a bit then get an attachable lens (the ones from Moment are meant to be really good). Take it a step further and get a gimbal. DJI makes a good one.

My brother, who is a semi professional photographer, and has all the cameras and lenses once said to me that he couldn't really tell the difference in quality between them and his most situations.

Best cheap camera smartphone Wileyfox Swift 2 Plus  £100 Amazon, followed by  Honor 10 Lite at £170

Best cheap digital camera  Panasonic Lumix FZ70 / FZ72 £160 Amazon

Have a look at Moment's Youtube channel. They've got lots of videos on how to get the best out of iPhone footage.