110V automatic switch for vacuum dust collection?

I use power tools like a miter saw, table saw, and router. all portable versions while on job and i have vacuum attachments and hose to connect them to a standard 5gal wet/dry shop vac. this requires me to first turn on the vacuum then the power tool for every cut. im sure there is a product or a simple 110v electric switch that could be built but i don’t know what its called. im just thinking of an outlet for the saw that when the voltage it drawn by the tool a second outlet it automatically turned on to power the vac.

What would this type of switch be called so i can research it, any ideas on how to build one from parts, any place you know that sells a cheap switch like this….