check this out man it really only sounds complicated with words. there's a nice visual 50 seconds in if you're especially pressed for time:
basically imagine you have a trampoline that you've set a bowling ball on. rolling a golf ball around it exemplifies how the planets "roll" around our sun, or how the moon "rolls" around our earth. but the curvature is of a higher dimension, so it surrounds the object in question. for example our planet curves the surrounding higher-d space toward it in such a way that when we jump we fall straight back to it, according with the inward curvature. it's the same concept as the bowling ball and golf ball, only we can't see what's bending.