How can I move a planet?

There are a lot of answers on Worldbuilding about how to destroy planets - just as an example - and they seem to be the method of choice for many people intent on destroying the world. My objection to this is that this is extremely difficult; moving a massive, orbiting planet isn't like picking up a marble and throwing it.

What is a feasible method to move a planet (gas giant or Earth-like; I'm interested in both) from an orbit around a star to anywhere else in the galaxy? Stellar engines exist, but they require . . . well, stars. I only want to move the planet, not its star.

I've considered things like creating large scale rockets - really big ones - and attaching them to the planet, but something tells me that this isn't realistic. In fact, using any sort of conventional propulsion on such a scale doesn't seem feasible.

So, how can I move a planet? Please, try to use some science here, although keep in mind that I'm asking from the perspective of a Kardashev Type II civilization. I don't have any timescale in mind; I'll go with what works.

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How can I move a planet?

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