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I've consolidated my four chase credit cards into one with 22K credit limit, and despite my closure of three accounts in the process, my FICO boosted by 5 points from this move.
I advised my aunt to increase her Amex line from a pathetic $1,800 to at least $8K alas amex is no mood nowadays to increase lines (rather they decrease them).
I think the best way to quickly boost a credit store is to manage to increase one's credit line. When I was 19 a banker friend approved me to a $5000 card (all I had was a $1000 credit card). Due to this, and with no other mix of credits, I reached a FICO of 760 by 21, and was given best mortgage rates.
I wish myFICO provide a better simulator since as of now it doesn't divulge the significant impact a higher credit line will have on the FICO score. For example, I've entered the situation when I've been approved for a 1K limit credit card versus a situation when I've been approved for a 100K limit credit card. And both cases showed the same range. I have a feeling that FICO statistical model, all things equal, regards those who have been approved for a 100K credit card as super safe, and must boost their scores up to the roof quickly.