Comment by laurieg
I would temper your expectations. Singing lessons will improve your singing faster than practicing alone but it still may take years and years to develop.
I had always enjoyed singing and I started singing and piano lessons at the same time. With consistent practice you can improve at the piano, learn more complex pieces and see your progress. With singing the process is a lot more mysterious. You probably don't understand the things that are going on inside your body very well and the teacher can't just say "Try putting your first finger on this key and your middle finger on this key".
After three years I could play reasonably complicated pop songs on the piano and read chords. I'm still a few steps the average "someone who likes to sing level".