Well, big creatures need a lot of oxygen to survive. When the meteor hit, the air had less of it, and they got slower and easier to catch.
Did birds exist? I'm not certain. The bottom line is, larger creatures are generally more adapted to a particular enviroment, and are more vulnerable to changes. Presumably, smaller dinosaurs simply evolved into other reptiles, or mammals and birds. Global temperatures also probably dropped due to the debris in the atmosphere, which isn't exactly good for cold-blooded animals. Us humans can go most places, and are hard to exterminate.
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