You can get to the Isle of Skye from the Highland capital of Inverness. The city has good bus links to the island or you could go by train to Kyle of Lochalsh. It terminates close to the Skye Bridge which links the island with the mainland, and the train connects with bus services.
If coming directly from central Scotland, you can take advantage of daily bus services operating between Glasgow's Buchanan Bus Station and Uig on Skye. However you choose to travel, either route is a magnificent introduction to the landscapes of the west - the views out the window are superb.