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[Salimasidas]

If you want convert M4P to MP3, free download Apple Music Converter, you can convert DRM protected Apple Music M4P to MP3, which can be played in most mobile device or players.Just import M4P to Apple Music Converter, select the MP3 as the output format, at the same time you can define the MP3 quality, save path. It's so easy.

[somkide]

I can play Apple Music without paying,next I will share you the useful tips:
First of all, you can add the Apple Music to the iTunes Library from iTunes store. Then use a special Apple Music Converter to remove DRM from Apple Music and convert them to a more commonly used format like MP3.
Free Download the profession M4P to MP3 Converter: 
Next is the detail guide:

How to Convert M4P to MP3

Step 1. Run Apple Music Converter and loads Apple Music to the program from iTunes library
Step 2. Select Apple Music Tracks
Step 3. Choose MP3 as Output Format
Step 4. Start Convert Apple Music to MP3 Files

Read more: How to convert Apple Music to MP3

This is just a suggestion since I didn't test it out yet. But hope it could help.

[Crystalmini]

Drmare is a good tool to convert m4p to mp3

link: https://www.fonecope.com/convert-m4p-to-mp3.html

[wanxiling]

Songs downloaded from Apple Music is M4P files, If you want to save Apple Music songs for offline listening, I choose convert M4P Apple Music to MP3. 

I have ever use UkeySoft Apple Music Converter to convert Apple Music songs and iTunes M4P audio as local files, such as MP3, AC3, M4A, M4R, FLAC, MKA, AU, AC3 and other DRM-free format.
Here is the guide teach you how to convert M4P to MP3

After convert M4P Apple Music songs to MP3, I can play Apple Music on Sandisk MP3 player.

[icezone]

You can use Streaming Audio Recorder to remove DRM protection from any kind of audio. No matter what format is used, M4P, WMA or something else.