The nicks in the blade are probably an end product of using a grooved steel. Any stone between 400-600 grit stone will reset the bevel on a Victorinox. A 1000k stone after will finish it off, that will put it back to around a factory edge. You can go higher but the 1k will probably be fine with you. Anything above 3k on that type of knife is usually a waste of time. I take my Victorinox to 1k, sometimes 3k if I'm just goofing off and the edge is better but not by much.
Shapton Glass stones are great for those new to sharpening because they are hard and don't gouge easily but can be a little costly. Bester stones are popular with newbes and pros alike and give the best bang for your buck. http://www.chefknivestogo.com/besterstones.html