Welcome to the Cafe!
When drafting, I always value bats more than pitchers. Why you ask? See Adam Wainwright. Personally, I target as many 5-cat (HR/SB/R/RBI/OBP) bats as I can get. Check the starters for each position and see their stats and you'll see which positions are deeper than others.
Pitching is deep this year, and depending on the number of teams in your league will determine what round I would go after a pitcher. In a mock draft I participated on here, I got my first pitcher (Justin Verlander) in round five, and second ace (Mat Latos) in round 8. That was in a 12-team league. Fewer teams you have in a league, you can wait another couple rounds and still get decent pitching.
Do not reach for saves. It's a very volatile stat. You can get cheap saves late in your draft.
Of course, my advice comes from playing in a Roto league, not a H2H which I've only played once. So anything bad that happens to your team, I am not to be held responsible.
Most important though, have fun!