Getting my music on Spotify/Apple Music

After doing some research into getting my music onto Spotify and Apple Music, I still feel as though there is so much I do not know. TuneCore and CD Baby seem to be great services to assist artists with this hope, but they both offer similar yet different models in order to achieve it.

Does anyone have experience with either of these (or other) services that assist unsigned artists who hope to get their music on these platforms?

Currently, I have my music uploaded to SoundCloud's website but many people have told me that they have trouble playing my songs when they visit my website. Doubtful that anyone will listen to my music once uploaded to Spotify/Apple Music - but at least I think it will make the overall listening experience better when I share my music with others.

If you have any experience or thoughts on this, please let me know.