Most compact Canons are a bit rubbish for video.
If you want something small and decent quality, look at a mirrorless camera.
Panasonic Lumix GX800 is proper pocket sized, with the kit lens. It can do 4K, and has a tilt screen, very handy for vlogging etc. Also has wifi, so you can control it from a phone.
No microphone input though, not many smaller cameras have this. You could use some sort of separate recorder.