Welcome to the family!
The Savage does leak from the right side/top of the engine. There is a plug that is usually the culprit. If you do not yet have a Clymer's manual or Suzuki shop manual then you need to get the Clymer at least, since it will cover virtually everything an owner will do on his own. If you get into A-Z rebuilds then get the shop manual too. The Savage is easy to work on...about as simple as a motorcycle can get these days, so jump in and have fun. You really cannot hurt the thing unless you just jump into tearing it into pieces and don't know anything about how to do it. All of the regular maintenance and the basic mod's are easy to do.
Of course, anything is easy if you know how to do it, but really, this is a great bike to tinker with.