Differences between longitudinal and transverse waves?

Okay so you have a transverse wave, which is a wave (a transfer of energy) that transfers energy perpendicular to the direction that the energy is being transferred. For example: if you are playing with a slinky, and your friend is holding the other end of the slinky, and you shake the slinky, you are creating a transverse wave.

Now you have a longitudinal wave, which transfers energy parallel to the direction that the energy is being transferred. The best example I can give to you is a sound wave, that is transferring kinetic energy in the same direction that the energy is headed, and that is why there is a "speed of sound" because sound travels in the same direction that the energy is headed, or parallel to it.

And a surface wave is a mechanical wave (a wave that travels across a medium, a medium being, well, anything that is not a vacuum) that changes medium while traveling. The best example I can give you is ocean waves. When you see a typical wave in the sea, that is a surface wave.