* Don't draft a kicker before the 16th round
There is very little difference between the #1 and the #10 kicker and predicting future performance from past performance is a crapshot. Plus if you draft a kicker early, you will be exposed as a fraud :) Every year there are no-name players that have breakout seasons, so use your late round picks trying to hit the lottery.
* Try out Value Based Drafting
This is a more advanced metric for optimizing your drafting strategy. The basic idea is to not pick players based on the raw number of points they are projected to get, but rather how much better than a "baseline" replacement. It's very nerdy but something that the traditional "office jock" isn't going to bother with. If you want to dig a little deeper, read this: http://sports.espn.go.com/fantasy/football/ffl/story?page=nf...
* Set aside time to manage your roster every week
You only need 20 min to do the minimum each week: set your lineup based on expert rankings and add waivers/free agents to replace injured/non-performing/bye-week players. If you do this every week, I can almost guarantee you won't come in the last place (the ultimate objective!). Pick a single source of rankings (ESPN is fine) and don't worry about reading 50 different blogs.
* Remember to have fun and don't talk shit
If you don't follow sports at all, now you can get a taste. It's pretty fun! If you normally follow the hometown team, congrats - you will now find yourself caring about 8-12 other NFL teams every week - if only for your one fantasy player. And don't be an asshole. No one likes playing fantasy with jerks.
PS Be careful, you've just stepped into the most addictive hobby I've experienced since World of Warcraft :)