Why exactly do you 'move between houses every week'? Could you be more specific? How many hours a day do you work, or go to school? Who exactly would be at the house with the bird?
Please note...
-Moving a bird around houses every week will add a LOT of stress to the bird. Most birds do NOT do well with changes like this so constantly.
-Birds need to spend at least a couple hours OUTSIDE of their cage, and interacted with on a daily basis.
-Conures live 30 + years. What happens when you move out on your own, and you are constantly working or gone...who will care for the bird, then?
Please consider all the responses from other members, too. A low-maintnence pet (like a fish, honestly that's as low key as it gets) would better suit you.
All in all, birds are very much like children. They sort of require you to be home-bound at least several hours a day, so if you are not even home some days, then this will simply not do for a bird.