Which you should get depends on what you want to blend or chop. They're not really interchangeable tools.
Smoothies, sauces, soups -- blender.
Chopping solid food, grating cheese, pureeing stuff that isn't already really wet -- processor.
In a pinch, a processor can be used somewhat successfully as a blender. Sort of. But a blender can't really be used as a processor, so if you can only get one, and need to use it for a wide variety of things, a processor will be more versatile.
But if it's mostly smoothies and such, go blender.