I'm fighting this battle as well. Checkout this site, which is what I am using to get rid of mine: http://freeplants.com/creeping%20charlie.html
Hi Betty, this might help. https://www.bhg.com/gardening/pests/insects-diseases-weeds/how-to-get-rid-of-creeping-charlie/
Most articles say that a chemical product will work the best. You can hand pull it until you weaken the plants enough to kill them, but that's a huge job. Here's an article from The Spruce, that should help you. Wishing you the best. -Linda
Since I do not use chemicals due to pets and kids, I pour boiling water on them and dig out when dead.
These links have some good info in them, hope them help you.
I also suffered with Creeping Charlie! At one point, two thirds of my lawn was taken over. I tried everything under the sun. I finally tried Spectracide Weed and Feed. I mixed a much stronger solution than the instructions said. Used a handheld sprayer and really wet the "lawn" down with no rain scheduled for the next few days. Killed the Charlie and he lawn came back stronger than ever. I still get some Charlie coming back every so often, so I pull out what I can and spot spray it along with other weeds as general maintenance.