I am not a PCB designer so I only could comment the size commonly saw and used when I was working at an Electronic company which the PCB designed by others colleagues.
For regular signal trace, track width was 0.2mm, via diameter was 0.6mm, via drill was 0.3mm.
For power rail, track width was 1mm, via diameter was 0.6mm, via drill was 0.3mm and often time multiple vias were used to connect the rails.
I have no idea of math behind how the size was chosen, but it seemed to be working OK.

Of course real analog, RF, high frequency digital circuit, and etc, were different.
