Sharing music from CD's
Prior to various iCloud services, you used iTunes to sync music to your iphone. If you burned from CDs, the music will be in iTunes on your Mac. The simplest solution is to plug in your new iphone to the Mac and let iTunes sync. This will allow you to copy all music in iTunes Mac to the new iPhone. (this also allows you to backup your phone to the mac)

Since iCloud you have the option of syncing your music library via iCloud. However, this is not a free service, you need to enable iCloud Music Library, and pay for the service.  You can get this via subscribing to Apple Music or paying for something called iTunes Match. Either of these services will allow you to stream all your music, or download to your phone from iCloud.