Camera recommendations for the avid birder

Ive had my Canon Powershot SX720 HS for about two years now. I originally bought this camera for its portable and lightweight features. There were some downsides though.
1: It did not/ does not come with zoom lenses. For a birder this can be tricky, especially when trying to take far away shots.
2: It does not have clear focus.

I would like my next choice to be lightweight, portable, have clear focus, to come with zoom lenses, and overall be in a price range of about $300- $500.
If you have any recommendations, please post a comment below.

Brown-headed Nuthatch Feeding Young

The Brown-headed Nuthatch pair (was a cooperative breeding situation with former juvenile from prior brood, but that one has moved on) has been tending to their hatched young. Managed to get great videos at multiple angles showcasing feeding, fecal sac removal, and young peeking out. Lots of vocalizations by parents and young. They’ve grown so big!

Summer Tanagers

We compiled a group of videos from 2019 of the beautiful Summer Tanagers that live in our area and come to visit. While it’s mainly videos of the males and their beautiful songs, a surprise guest makes an appearance in the end!

Male Pileated Woodpecker in the Fall Trees

After months of trying to take photographs of the Pileated Woodpeckers that frequent the woods, I was finally able to do better than that and catch one on video. A male Pileated was clinging to the side of a tree, curiously examining his surroundings before flying off to search for a meal.

Cornell Lab of Ornithology

Cornell Lab of Ornithology