Red shift, they are moving away from you so that the wavelength of the light reaching you appears stretched.
Blue shift, the wave length appears shortened because they are moving towards you.
The shift indicates the direction of their movement relative to you.
If ALL of them appear shifted in the same direction (e.g. all red-shifted, and thus all moving away from you) this would appear to indicate that the universe is expanding, and hence that they are all also moving away from each other.