For between cycles, always clear everything out, turn off lights, and clean, and clean, and clean. Take off your carbon filter's prefilter and run it through the wash, or replace it.
As for the vacuum, do that first, before the no pest strip. It will not kill every bug, but it will severely reduce the population, remove webbing, and remove a few eggs. Then, the strip doesnt need to work as hard to kill them.
Remember with mites, you need to attack them in 2 steps. Step one, kill the adults. Step two, kill the next generation!!! It's almost impossible to kill all the eggs, so whatever you do to the adults, you have to do it again in 2 days.
The more adults you have, the more eggs they lay. If you remove as many adults as possible with the vacuum, you ultimately keep them from laying eggs on your leaves. Then, in round two, there are less to deal with.