The intermediary Bond...

"The intermediary I use is an attorney/CPA/title company. They tell me that the bond from their other business covers their intermediary work. Is this correct?"

It might, but probably not. Ask for a copy of their bond; they should be more than happy to give it to you. Once you get the copy, review what it covers and look for wording about a 1031 exchange, or qualified intermediary, or exchange services, etc.