The best move is to grab a wooden stick or old palette knife and actually stir the paint - not shake it. Get down to the bottom of the bottle where all that pigment's sitting and work it slowly until the consistency looks even throughout. This takes patience, maybe a couple minutes of real stirring, but it usually works. If the paint's too thick after stirring, add a drop or two of water and mix again. You can also use acrylic medium instead of water if you want to preserve the paint's binding properties better.
One thing people don't always mention: don't assume the paint's ruined just because it separated badly. Even if it looks like concrete at the bottom, there's usually nothing actually wrong with it - it just needs proper mixing. The real trap is adding too much water at once. Start with tiny amounts and stir between each drop, because once acrylic gets too diluted it loses its grip and won't adhere properly to your surface. If after stirring and adding a little liquid the paint still feels off, that's when you can consider tossing it, but most old separated acrylics come back to life pretty easily.