And for streaming your own choices there is Spotify,
https://support.spotify.com/nz/account_payment_help/subscription_information/

You can search Spotify for folk playlists but what comes up is a bit limited

or look on the internet and find an existing playlist which you like, not so easy.

tips on a Mudcat thread here
thread.cfm?threadid=156374 

and there are some related threads at the top of that page to check.