Outside, you need to get them acclimated to the outside temps and stuff. you'll want to post a question like that over in the outdoor section. sometimes the change in light schedule will force flower them. but I think your past that danger with spring bein here. Hick and Ganja would tell you the best on how to get them climatized.
GDG....they're quickly outgrowing those containers. "I" would up-pot a size or two, maybe to 1 gallon. Still easily portable, but large enuff for a couple weeks good growth before your move.
"Acclimating"....I start by setting them out in "mottled" sunlight/partial shade, for an hour or so. Watch for signs of sever shock and move them back in if it shows. Some shock is inevitable, just watch for severe symptoms. An hour or two the first day, then gradually increase the exposure time and direct sunlight/wind/temp/ect. untill full day length exposure isn't a problem.
I would get them back to an 18/6 oe 16/8 now. The closer to the 'natural' light schedule you can accustom them to now, the less likely confusion at outset.
One other thing to keep in mind, moving plants in and out, will expose your indoor environment to outdoor pests. An infestation indoors, allows for a near perfect conditions for many pests to proliferate with 0 predation and a perfect environment, you soon have a real problem.
