I Recently Moved And My House Contents Were Put In

I recently moved and my house contents were put in storage prior to being delivered to my new house. I am a wife and mother of 2 children. I did and/or supervised most of the belongings being unpacked and then putting away most of the contents of the boxes. I was the first to get sick, then my children and later my husband as well.
Symptoms were malaise and nerve pain, some stomach issues. The more I was in the house with contents the sicker I became. i sent my children and then I went as well to my parents' house(for a couple of months) where we all started to feel somewhat better. My husband began to have some of the same nerve and arm and hand issues. First my husband and I moved back and left the children with my parents who only live about an hour away.
So we decided to get rid of some of our belongings and move to another house. After moving and cleaning as many things and getting rid of more and more items (including furniture and clothes, anything we were touching).
Anyway, we began to get sick again. After going to many doctors and having our house tested for mould and some common chemicals nothing significant was found.
We are concerned that our belongings may have been sprayed or fumigated with something that is hard to detect or not EPA approved. The storage facility is in the Houston, Texas area and will not even talk to us and will not tell us who does their pest control or what may be used at the facility.
What would you recommend?
It has been suggested that we get a chlorinerase (blood) test and that we test for Chloride and organic phosphates and sulphryl (?) fluoride (chemical used for fumigation). Our consultant has been unable to get a control to compare for the presence of sulphryl fluoride (on anything that we save and put in a storage unit).
We thought of an Occupational Medicine physician or a toxicologist but are just at our "wits end"! Our consultant has recommended having the house HEPA vacuumed and wiped down with plain water. We had our HVAC cleaned and nothing sprayed in any of the ducts. Also, it was suggested that if it is chemical it could take awhile to "detox" and that HEPA filtered fans with charcoal filters on the intake and exhaust could help to neutralize any ppm/ppb that may be on surfaces or aerosolized from things that may have been brought in but then discarded.