flatpack vs snap vs appimage

what should i be using on a day to day basis to install apps l?

say if i install pycharm (or another program) through the snap store and later install an extention/additional program to integrate into my workflow using flatpak or appimage, would there be issues?

in addition to this, is there any way of changing the name of the programs ive integrated into my system using appimagelauncher as the names are quite long and ugly sometimes

ty for the help 🙏