Perhaps you already know these, but if you don’t here they are:
1. Stay hydrated, but avoid alcohol.
2. Try to harmonize with the melody. You can do that by trying to harmonize with the vocals or the instruments. You can tell that you’re harmonizing when your singing forms a simultaneous echo with whatever part of the melody you’re following.
3. Find a melody that you like, and sing along using one vowel for the first run. If that vowel has more than one pronunciation, then use that pronunciation for the first run. and a different pronunciation for the next run, until you reach the next vowel. Repeat.
E.g., for the first run, use a long A (as in cake). For the second, use another pronunciation of A (as in flag), etc.
4. Learn not only the lyrics of a song, but also the applications of the song’s rhythm to the lyrics.