Every manufacturer makes pretty decent P&S cameras, I have tried and liked several, I tend to gravitate back to the coolpix line, they are very good and relatively inexpensive.
For me as a primary SLR shooter, the single biggest pet peeve of the entire line, across the board, is shutter lag.
The Canon PowerShot G7X is the fastest i've found, but I never bought one, because they can be twice as expensive as the Nikon's.
My mom got one since it's the only camera she uses besides her iPhone, and it seems to be a solid performer.
If it is going to be a travel camera, might want to look into the ruggedized ones, like the Olympus. Rated highly, water and shock proof.
If you want something more convenient than an SLR, but appreciate everything it has to offer, look into the smaller mirrorless, or perhaps the Nikon AW1 line, which is pretty damn excellent. I love mine.