There is no best way. It is all about personal preference.
As for the differences between AUR versions, here is how it generally breaks out:
package - This is the standard version of the package. If the source code is available, it should be built on your machine based on released version of the product. If no source code is available, it should be a binary of the released version.
package-git - This is typically built off the latest source code in the source repo. It may have bugs. Depending on how the maintainer manages the package, you may need to pass a devel flag to your AUR helper to get proper updates.
package-bin - This means the package is downloading and installing a prebuilt binary.
Here is a post where I compare flatpak with the AUR.
There is also no problem with using AppImages but they will consume extra disk space and won’t get updated with your other packages. Some of them are self-updating, others are not.
My personal choice is usually repo>aur>appimage/flatpak but I make exceptions some times. I will never use snap because of the intrusive telemetry collected by Canonical which cannot be disabled.
You don’t actually need that package, it is just makes it more convenient.