Much is done neither cheaply or quickly these days.
Get it done in the manner which least affects the boss's chances of job security and pay raises.
In most cases, this means doing it exactly how you've always done, but integrating any new directive from on-high (no matter how stupid), whilst paying lip-service to any laws, H&S, etc.
Leadership only asks for input on the explicit understanding that said input will not rock the boat in any way.
The best methods for assuring nothing goes wrong on your watch is: Shouting, and silent prayers.