There's an online orrery at Fourmilab . An orrery is something that shows the positions of the planets. I just got a telescope and want to try to find some of the planets. A magazine such as Sky and Telescope will give you monthly sky maps that will include the locations of the planets. Or you can check Sky and Telescope online or any of several planetarium programs on the web such as this .
Planets move because the gas cloud that originally formed the solar system was spinning.
The gas that wasn't spinning fell into the proto-Sun, and the planets formed from gas and chunks that were spinning enough that they were in orbit. The expansion of the universe is essentially negligible on the scale of the solar system, that is, it appears to have only a very, very small affect on the solar system. There is no physical law that states that when an explosion occurs all particles will be spinning in the same direction. I would tend to believe it is more of an egg-shaped path than a perfect ellipse. The orbits of the planets are ellipses, as discovered by Kepler.