Piano lessons come into play heavily more so for technique. The guy who wrote those beautiful melodies did so on the back of eons of piano theory evolution. I took lessons for 5 years when I got to college. If you can read music and know correct finger placement you'll be set.
another word of advice, those three are not the palce to start. Maybe Ode to Joy but you can't be Mozart overnight for a reason.
With regard to Chopin, his spreads are sometimes 12 keys wide and he plays (or can play) very soft, so you're going to need a ton of practice and training.
theres nothing wrong with learning some folk piano, its good if only to get your reading skills up. I'd also recommend staying away from things like the Blues and Jazz, the former is hell on earth because you can't bend, and neither adhere to the sheet music...ever.
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