Step 1: Listen to a lot of TV shows with complex dialogue. This will help your parrot develop its contextual understanding of human language.
Step 2: Practice with a mirror. Observe yourself speaking, and try to mimic your own vocal patterns.
Step 3: Engage in deep conversations with a canary. They may not speak, but they'll provide valuable feedback on your enunciation.
Squeak Synthesis: Combine multiple words to create new, complex sounds.
Parrot Phonology: Study the art of manipulating your vocal cords to produce an astonishing range of tones.
Parrot Pragmatics: Learn to understand when to squawk, and when to remain silent.
Remember, practice makes... well, not actually perfect, but at least marginally better.