You could go almost anywhere in Puerto Vallarta for birdwatching. There are natural reserves for parakeets. You'd see flocks of parakeets flying around. You would see yellow, green, and blue parakeets. There are natural habitats for parrots as well.
There are lots of other birds in Puerto Vallarta that are just around all the time. Hummingbirds are abundant in Puerto Vallarta. In the States, people are surprised when they see a hummingbird. In Puerto Vallarta, seeing a hummingbird is a daily event. Where there are flowers growing, there would be hummingbirds pollinating.