Coming from the continent there is the option of bringing your own car and taking one of the many ferries across the English Channel. If using this route I would highly recommend P&O Ferries and if using them upgrade to their club lounge and first on first off service, both worth the little extra. They also run services from Rotterdam & Zeebruge to Hull (around 4.45 hour drive to Edinburgh) and Northern Ireland to mainland Scotland.
Once in Scotland how do you get around, the answer really depends on the individual. Do you want to be independent, is cost a major factor, how much time have you got, etc. The easiest was is certainly to hire a car, as mentioned above we do recommend AutoEurope car hire, they tend to offer the best rates and if you find something cheaper like for like they will match the price.
Scotland does have a good train service and all run by the same company Scotrail. Unlike England where there are many different companies involved, having just one makes planning your route and timetable very easy. Should a train not go to your final destination then you can check out Scotrails buslink to see your best options.
The cheapest option getting around Scotland is by bus unless of course you wish to hitch-hike. Traveline Scotland really is your best bet for getting from A to B or adding in many different locations. You can plan your whole journey by plane. train, ferry bus or coach. Traveline the way to plan your own personal trip around Scotland or for just getting from the airport to your destination.
Need any help please just ask MARK