...but I don't play any instruments myself. What's the best way to transform my lyrics into music by myself, without the support of other musicians?
It seems like your question is straight forward, but there are some details left out.
You said "other musicians." Other than who? Do you mean yourself as a musician? You said you don't play an instrument. Can you sing? Do you plan to become a musician for the sake of setting your lyrics to music on your own?
If you want to compose chords for your songs, the typical instruments to use are piano or guitar. Learning to "comp" some chords to support your singing isn't too difficult. It depends on your motivation, but you could get up to speed with comping at a basic level on either instrument in 1 year.
If you don't want to bother with piano or guitar, I think you still need to be able to sing. At a minimum you need to be able to make a melody for your words and you could do that alone by singing.
If you only sing the melody, you could use various apps to add accompaniment, the bass, drums, chords, etc. There are impressive apps available. Some can even automatically harmonize from only a vocal part. You might find digital tools to fit your need.
In the end, if you cannot find a way to set your lyrics to music on your own, just remember this: you can always call yourself a lyricist. You would be in good company with Ira Gershwin, Hammerstein, Taupin, and many others.