The simplest way to record is to buy a mic like this that plugs into the usb port on your computer. http://www.zzounds.com/item--SAMC03U
I use one frequently when I want a decent recording without doing a full mic up of my kit.
Otherwise you will need multiple mics. One for each drum and an overhead along with a mixing interface to plug them all into.
I recorded the file below with the single usb mic.