All very good information.... but I am not sure that getting a credit offer with a pre approval doesn't recheck your credit when you actually apply. Every credit card I signed up for did a credit inquiry.... however.... I really like your advice about adding your daughter to your accounts... this doesnt put a hard inquiry on her credit report and it makes it look like the card is hers. She doesn't even have to use it but it will make her score jump. Great advice
This is easier said than done, but reducing the amount that you owe is going to be a far more satisfying achievement than improving your credit score. The first thing you need to do is stop using your credit cards. Use your credit report to make a list of all of your accounts and then go online or check recent statements to determine how much you owe on each account and what interest rate they are charging you. Come up with a payment plan that puts most of your available budget for debt payments towards the highest interest cards first, while maintaining minimum payments on your other accounts.