OK, you have iTunes Match. That's GOOD. That means all song files you download from your iCloud Music Library will be DRM-free (no copy protection). IF your iCloud Music Library was from Apple Music only (and you did not also have iTunes Match), matched songs would download with DRM, and you would not be able sync those those matched songs to your iPod (because of the DRM).
To download all songs with the cloud symbol with one action, do the following. First, sort your music library song list using the iCloud Download column (click the heading of the iCloud Download column). All songs with the cloud symbol appear together on the list. Select them all at the same time. To do this, click the first song with cloud symbol to select (highlight) it on the list. Scroll the list to show the last song with cloud symbol. Press and hold down the Shift key. Click the last song with cloud symbol. The two songs you clicked and all songs in between are selected at the same time. Right-click the selection and Download. It will take a while...
NOTE: You should confirm the previous song files are not stored somewhere on your computer's drive. When you download your songs from iCloud, if the previous song files still exist on your computer's drive (taking up space), you may run out of storage space when you download them from iCloud. Even if you have plenty of free space, the duplicated song files will be wasting space.
You mentioned other media types, such as movies and TV shows. Purchased videos can be downloaded again in the same way. There is no personal "iCloud library" for videos, but purchased items are accessible from iCloud.
After completing the downloads, you may want to go to your Purchased screen in iTunes Store, to see if there are any items that were not listed in your iTunes library. All purchased items are not necessarily listed in your current iTunes library.
Download your past purchases - Apple Support
Show the Purchased screen with the Not in My Library view, for each media type. Also, in case you accidentally made any purchased items hidden, you can check here.
Hide and unhide purchases in iTunes or iBooks on your Mac or PC - Apple Support