If you pay a charge-off in full, your credit report will be updated to show the account balance is $0 and the account is paid. The charge-off status will continue to be reported for seven years from the date of charge off. Another option is to settle charge-offs for less than the original balance if the creditor agrees to accept a settlement and cancel the rest of the debt.
Of course, if keeping accounts open and having credit available could trigger additional spending and debt, it might be more beneficial to close the accounts. Only you know all the ins and outs of your financial situation, and like thumbprints, they're different for each person. Make sure you carefully evaluate your situation; only you know what can work best for your financial outlook.
If you have negative information on your credit report, it will remain there for 7-10 years. This helps lenders and others get a better picture of your credit history. However, while you may not be able to change information from the past, you can demonstrate good credit management moving forward by paying your bills on time and as agreed. As you build a positive credit history, over time, your credit scores will likely improve.