Hi Tom,
From your description, there's probably too much forward bow to the neck. So what you need to do is to tighten the truss rods (equally) so they can pull more backbow in the neck until there is only slight forward relief in the neck.
If you only turn the truss rods a little, only a little movement will happen. Just use the 1/4 wrench and turn the nuts clockwise to tighten. Turn each one the same amount. Start with maybe a half turn each, then pick up the bass and play. If it's still too high, turn another half turn and play. You should get to a point where the neck will have the appropriate relief and the bottom of the strings will then be close to the tops of the frets.
Joey famous post might also help:
http://club.alembic.com/Images/16271/16318.html?1107545766 If you still cannot get the action as low as you want, and it's close to what you want, you could slot the saddles deeper.
Otherwise, I'd need to talk to you more about your bass and understand more completely what is/isn't going on. It's been 8 years since the bass was made, and even though it's new with a warranty, it's had a little bit of its own life since we last saw it.