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The moon pulls the ocean on the near side of the earth more than it pulls on the center of the earth. The pull on the ocean at the far side of the earth is smaller still. This causes the near ocean to accelerate toward the moon most, the center of the earth less, and the far ocean still less.
That's a good question! Tides are caused by the gravitational pull of the moon, sun, and other bodies in our solar system on the ocean. You can find out more about tides from this answer from our archives (and the links within). The biggest influence on the tides is the moon. The moon is the reason we get two tides per day, and those tides are about 12.5 hours apart.