For a long time now iTunes has included a feature where all your unhidden past purchases with the iTunes Store are listed along with any locally introduced content such as CD rips or purchases from other services. If you have either of the iTunes Match or Apple Music services this cloud content also includes your iCloud Music Library. If you want to view only what is stored locally use the option View > Only Downloaded Music.
The Recently Added section of the library shows the entire library in reverse date added order, grouped by album and ordered by disc and track number.
I recommend syncing with selected playlists over manually managing content. Once set up syncing will quickly update the device with any metadata changes in the library, ratings and play counts can sync in either direction, and it is easier to repopulate the device if it has to be restored or replaced. You can set things up so that new content in your library is automatically added to the device without you having to explicitly select it, but still ensure that you don't include more than you have room for.
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