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More arboreal T's. Fewer enclosures. Problem solved.
Sarcasm aside, fly paper and electric bug zappers are your only safe bets. There are also UV light/fly paper combo things that are a best-of-both-worlds solution.
Stay away from chemicals. Some insecticides are 10,000X more toxic to spiders than they are to insects. (And that's a real number, not just me exaggerating for effect.) Any chemical you introduce into the apartment poses a threat to your T's.
Stick (pun intended) to physical methods for the sake of your little friends.