If the low limit cards are OLD, do not cancel them. I believe that on closed accounts, they only count them for 10 yrs after closing. If open, they are counted without regard to when they are open.
I own rental property and one applicant had a decent credit score in spite of having several credit lines maxed out. (he had plenty of income to pay rent since he used to own a house). Two of his tradlines were opened in 1964/1966 and still were active. That helped his score alot. If he closed out the accounts more than 10 yrs ago, they may not be on his report.
Bottom line: Keep the old accounts open if at all possible. Especially AMEX going back years!!!