My meter base has a 200 amp breaker and a bar with four lugs (two lines0. I need to run three lines from it (house, shop, barn) with each having their own breaker. How do I do this--what do I need to hook this up?

I promise I am not trying to be a smart***, but you need a licensed electrician.

There are very code specific methods on how to run power to a remote building.

I suggest you do your research online and stay away from any forums. This isn't a DIY project for most people. Your research needs to be aimed at the technical issues and actual installation methods, not the "opinion" of other do it yourselfers. That being said, you need to provide way more information before any of us can steer you in the right direction. Weighing all the issues and alternatives, it certainly won't be a bad idea to get professional help with certain aspects lof the project. I'm not saying you haven't got the ability to do it... you just, at this point may not have the ability to do it correctly and safely. Good luck.