there's a program called 'appimage launcher' or something along those lines, that will show a dialog window anytime you open an appimage and you can choose to just run it once or to integrate it, which copy it into a specified folder where the rest of your appimages are and then also create a desktop shortcut. it doesnt handle updates though

ive been using flatpak more myself these days but i hope the appimage format sticks around because its handy being able to quickly try out some software and then delete it when you are done, or to try out a new version of something and have both running at the same time