After you have learned the basic guards, and how to move through them, You need to learn your 8 basic cuts.
These consist of 3 basic upper strikes or oberhaus (an upper cut is a cut that descends from above and strikes down), 1. straight down the the middle. (scheitelhau) 2. down at an angle from right to left (zornhau) 3. down at an angle from left to right.
Then there are 3 under strikes or unterhau's (an under strike is a rising strike that starts in a low guard and finishs in a high gaurd). 1. straight up the middle. 2. up from left to right. 3. up from right to left.
finally two middle strikes or mittlehau's. (these are horizontal strikes) 1. from right to left 2. from left to right.
In generall your upper strikes will be done with the true edge, or the edge that faces the knuckles of your hand. The under strikes will be done with the false edge, or the edge the faces towards your body. The middle strikes vary depending upon what type of a strike you are using for a middle strike, I tend to use a zwerchau for my middle strikes, but a basic horizontal strike from right to left will be with the true edge, and one from left to right will be done with the false edge.
After you have an understanding for your basic cuts or strikes, then you can move onto the master strikes
http://www.thearma.org/essays/mastercuts.html Also, you will want to spend a lot of time perfecting your footwork.
At some point you will also want to get a pell for solo work, see this article
http://www.thearma.org/essays/pells.htm hope this helps.
Brian Hunt
GFS