I'm really sorry this one has sat for so long.
The drip method is pretty simple, in principle. Put the new livestock in a bucket or small tub, in the shipping water. Take a piece of airline tubing, and siphon water from the tank to the bucket. Use a loose knot in the tubing to set the flow to a few drops per minute, or whatever it takes to quadruple the volume in 2-4 hours.
For corals, especially frags, I tend to be a lot less fastidious. For pieces I get from local reefers, I normally just dump them into the tank.
Wild colonies are a different story. Then I either drip or do small additions over the course of a few hours. It can still be dicey, and it's one reason I try very hard to get only local frags.