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a credit union cc would probably be a GREAT addition but if you only have 1 revolving account you may want to add a prime issuer card like boa as well:
https://preapproved.bankofamerica.com/cc/SelfInquiry.aspx
it appears they pull EQ reports for preapp. they typically pull EX and sometimes TU as well for the real app.
There is no HP generated by this preapp inquiry.