tap jump twice in the same frame for super jump
So for floor one, there's a precise jump you can make on the lower yellow platform that lets you conserve your momentum. Double jump over the two little humps and then double jump into the door - momentum is conserved between floors (thanks BenBonk!). Second floor and third floor have no other tricks until the end door of the third floor. Double jump to get a free jump into floor 4, then continue on the top layer. By the end, you should have a free coffee mug to make one more double jump into the door. Finish with your normal route.