Here is what I have found so far... I have called and harassed everyone I can think of.
The product used is called "suspend sc" the active ingredient is deltamethrin and is 4.75% from the company. It is supposed to be diluted more by the exterminator. The "head hancho" guy at the exterminator says it should not be a problem to spray the "outside" at all. Then if needed we could do the inside at the time it was needed.
So, I called Terminex. The main person there said that spraying the outside should be NO problem also. However, he said if he were to do the job he would not use a "spray" inside, but a powder or gel.
Then I called the company that makes the stuff and they transferred me to their poison control center. The lady there said they have no real studies for exotic animals, but she sees no harm in the outside spraying. When it comes to the inside spraying she recommended removing the animals from the premesis until it is dry. She also recommended contacting my vet. However, he won't call me back. UGH
Jade emailed her vet on my behalf. She did not know much about the product itself. So could not give any real advice, except that she would not let any exterminator into her apt.