In all honesty, the screen recording software that comes with the system on phones and computers is now very useful, and they do work for recording Disney +.
Windows: Xbox Game Bar
macOS: QuickTime Player
iPhone/Android: The built-in screen recording tool in the Control Center.
However, recording Disney Plus is a very time-consuming task. Here we recommend another very useful tool: FonePaw Screen Recorder. Its Task Schedule feature allows you to preset the recording time based on the length of the video, so you don't have to wait in front of the computer until the recording is finished.