When comparing your print to your monitor it's vital to ensure your monitor is calibrated correctly. You say you'll "play with the screen settings a little", but that may not be sufficient. People on various forums are always saying that their prints are darker than their screen, or vice versa..... it's very common. But it's like comparing apples to oranges...... a screen and a sheet of paper are very different in their capabilities. There are a few online 'monitor calibration' software tools - you can get very close without having to buy any kit or installing any new software.
This was the first one I found by Googling "monitor calibration online".