Replace the ssd in your laptop and install fedora, set it up with the same user account name and password as your old setup. Then cp -rvp your home directory from the old drive into your newly created home dir (best to do this from your old install and make sure the uid matches with your old one) on the new ssd. Pick and choose what /etc configs you want to save etc.
Youll have to reinstall whatever applications you use. There may be some issues with KDE stuff or other config tweaks youll need to do but you should be fine.
You could attempt to clone your entire rootfs but its generally better to start fresh if you can.