I have 2 Insurance Plans

I currently have 2 jobs and I signed up for health insurance for both of them. I guess my thought process was that if I lose one of the jobs I will have the other. I got my first job and it came with Cigna. I then got my second job and it came with UHC. My UHC plan is light years better than the Cigna one and that’s the one I want to use. My question is that I have been told by some providers that they legally have to bill whatever Insurance I had first even though I don’t want them to use Cigna. I guess it’s partially my fault for giving my providers both information but can’t seem to get them to stop billing Cigna before UHC. Am I in a position where I need to go see a new provider and not bring up Cigna to them or should I just risk it and get rid of Cigna at my one job?