There are many versions of the same old "hack" on the internet... all involve removing or bypassing the DRL relay. The side effect to this method is that the car freaks out, and usually flashes the DRL light (and sometimes sets the service light) on the instrument cluster.
There is a much easier way, and it doesn't have any side effects. The trick is to make the car think that the low beams are on... so the car will turn off the DRLs for you. This is accomplished by supplying ground to the low beam input on the instrument panel (on 2000-2005 models), or by cutting the wire on the low beam input (1995-1999 models).
2000-2005 models
The Body Control Module (BCM) controls the DRLs.
Find the BCM on the drivers side kick panel (in front of the door, sort of above the pedals). Disconnect the middle connector (C2) On the "B" side row of pins, locate the dark blue wire (B4). it should be the ONLY dark blue wire in the center connector. Cut this wire, leaving as much as possible still attached to the BCM.
Add a piece of wire to the side that is still connected to the BCM. Attach this wire to ground, such as a screw in the metal part of the dash. Tape off the other side of the wire (unused).
Attaching the BCM side of the wire to ground fools the BCM into thinking the low beams are on, so the BCM will disengage the DRL relay and turn off the DRLs.
1995-1999 models
The Instrument Cluster (IC) controls the DRLs.
Remove the dash pad and locate the wiring connector that plugs into the back of the IC. There should be two dark blue wires. One is next to a purple wire. It should be thinner than the other dark blue wire.
(The thicker one is usually next to a light blue wire... these two thicker wires are for the signal lights. Do not cut this wire!)
Cut the dark blue wire. Tape off both ends.
Opening the circuit (by cutting the wire) fools the IC into thinking the low or high beams are on, so the IC does not engage the DRL relay.
