Music streaming services are not standardised like RSS readers, which have OPML files for easily exporting and importing feeds between different readers (I wonder why not). So, this makes it difficult to easily switch to another music streaming service and just pick up where you left off with your 1,000+ collection of songs and playlists.
But there are at least three services which will help you do this, namely Soundiiz (at https://soundiiz.com/), TuneMyMusic (at https://www.tunemymusic.com/), and SongShift (for iOS only at https://songshift.com/).
Most offer a free limited service, but as one suggested, you just sign up for a month and then cancel it before the end of the month.
And there are probably many more such services, but hopefully this makes it easier for anyone to break free from their lock-in if they wish to.