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Which specific cards? CO builder/rebuilder cards typcially don't grow much beyond a certain point with EO intervention.
Personally i would put your bills on barlcays because in my opinion its better to earn rewards. If its utility bills you get 2x points. PIF so it shows you can handle the card, and i believe Barclays will give you a atuo cli after 6 mos? Not sure, but you could ask for one after 6 mos
Use your cap1 for everything else, as you progress with your cards, i suggest a PC on your cap1 to like Quicksilver for cashback or Venture if possible if you want miles. Most likely you will need to contact the Executive Office for the PC and CLI.