What would happen if we moved the sun?

Er can you give us some idea how we would go about doing that. Let's try something a bit easier first, like moving Mount Everest.

Nothing.
The sun IS moving right now.

Well, depending on how much and how fast it was moved - the planets would likely move right along with it.

where you can find the energy to do that?

The Sun is moving.

if you think we have global warming, this is nothing compared to the sun

Well, ..., We don't have to move the Sun. The Sun is moving all the time. The Earth is dragged along by it's gravity. So what happens if the sun moves? The earth is dragged along with it.

Your proposition is so far beyond the realms of possibility that it is not worth the bother of replying to in scientific terms.

I assume that you know that the Sun is about 150 million kilometres (93 million miles) away from Earth, and that the Sun is hundreds of times more massive than the Earth, thus any such "push" would move the Earth far more than it would move the Sun.

There is no form of solid matter that won't melt/vaporize in the sun's photosphere.

Even if there were, you'd move Earth before you'd move the sun.

Well then the sun would be in a new position, duh.