Thanks @catherineyy! I use a Nikon digital SLR camera with a 600mm sigma lens, but there are a lot of options out there. I really like what I see from the Sonys and Canons, too.

The best start to get shots like these would be to find a camera that takes continuous shots at high speeds (this one is 1/1250 of a second), and a decent zoom (I started with the 300mm lens that came with my camera).