I remember (watching the show in reruns as a kid) the robot as the B-9 Environmental Control Robot. On his packaging (a box or a metal cabinet, I think) you can see the name G.U.N.T.E.R., which is an acronym for General Utility Non-Theorizing Environmental Robot.
It should be your mantra whenever you apply products to the lawn. This doesn't have to be a lengthy ban. The Dog Owner's Guide suggests keeping pets off treated grass for 24 hours, as nitrogen can burn the pads of a dog's foot. The guide also recommends keeping pets indoors during application to prevent an airborne inhalation or skin contact.
After Fertilizing. It's best to coincide any fertilizer application with a rainfall or watering of at least 1/4 to water in the product. Remember that a lawn fertilized with a slow-release fertilizer will not need to be fertilized for up to 12 weeks, and maybe longer.