Hmmm... rubber-boots, wellies, topboots, billy-boots, gumboots, gummies, barnboots, wellieboots, muckboots or rainboots - not worn over shoes. Wear to work in to keep feet dry and clean.
Galoshes are rubber boots - worn over shoes. Wear to work to keep feet dry and clean, then take them off like the raincoat and put with the umbrella to dry off.
It is fun to get covered up in rain gear and go for a walk when I don't have to go anywhere in particular.