I have linux a notebook with the AMD Ryzen 7 5700u and a Mat screen. Its pretty great on battery (6+ hrs). Even the built in gpu is good enough for general use. I think these newer AMD cpus are even better and worth the wait.

My home linux machine is a ninth gen intel with Nvidia. Its technically a notebook, but more like a portable workstation. Its powerful, but battery life is terrible (<3) and you can hear the fans. It can game quite well however.