If you haven't declared a BK, and only have bills with payments due, I would just go with the flow. Getting your payment score higher involves only getting your bills paid on time.
To avoid disaster, shred all cards, with the exception of one for gas, (If you own a car and it should have a decent rebate) and maybe the same one for grocery bills. If you drive, you always will need to get gas, and if you eat, you will always need to shop at the grocery store.
Then to follow up on this, keep that card at home unless you do need to gas up or go to the store. Then you will avoid impulse buying, such as if you need to take it out of your wallet, like Washingtons, Lincolns, Ben Franklins, etc. and it is starting to hurt, then you won't be tempted to charge it.
This is the best way to get your credit score up. The only reason to increase your credit score is for a mortgage, or have enough credit to go on a cruise.
I do recognize that there are times when you do really need a credit card with a high credit line, but when do we really need a credit card with a $10,000 credit line?
If you plan to max it out, then ignore all that I have said, but do go to Dave Ramsey's site.