If your a male, go for it, just leave your peyos.
Don’t some chassidishe women shave their head after the chasuna (or is that an urban legend)? What do their poskim hold about an obligation to cover their head after they do so? This might be “Boich svara” but, is it possible that the “fuzz” still has to be covered since chazal didn’t specify a length to hair that must be covered?