In the first place, I would do something to ensure that you are not speaking to a recruiter when you've just awakened. It's not going to put your best foot forward. Perhaps turn off the phone ringer, and have an answering machine take messages, and return the calls when you're at your best. (Basic rule of thumb is that you are more in control if you are the one making the call).
But several questions come to mind:
1. Where are you moving? The going salary for your specialty may be less in the area where you're going, which might explain the $5 "decrease" you mentioned.
2. How many places have you applied to?
3. How much demand is there for your specialty? And have you considered moving to a new specialty that might pay better?
There's no law guaranteeing that salaries will be uniform from one location to another. If you need a job, you may have to consider this a cost of moving.
Jim Huffman, RN