I don't know if you'll need all the detail, but I put it in for others that might read it and need it:
I have a dedicated bucket for dripping (I have cats and they get curious), but you may not need that. What I do is use airhose with a valve in the middle of the tubing. I start a siphon and then just use the valve until I have a slow drip. For shrimp I probably do a drip per second or two (I really just eyeball it, but that seems about right). Then, just run that hose into a small bucket. I drilled a hole in the lid of my bucket so I could run the airline through and keep the cats out.
Every half an hour or so I take some water out of the drip bucket (dump it down the sink... not back into the tank) until the water is back down to the original level. This lets you slowly remove "fish store" water and raise the percentage of the water that is from your tank. Eventually, the water in the drip bucket will be almost entirely your water. One good thing about this method is that it ensures that the transport water never gets into your tank.
For sensitive inverts I drip for about 2 hours, maybe more. For other things that are less sensitive I just drip a little quicker and take water out a little sooner, but I still try to do at least an hour. If you have an auto top-off you'll want to unhook that and just fill your tank back up with salt water when you're done. Think of it as a mini water change.
Airhose and a plastic valve (make sure you get one that won't corrode since it will be used for water and not air) can be bought at just about any fish store. For a bucket you can use anything, but you'll want something with a relatively small bottom (i.e., tall and skinny, not short and wide), since a lot of times there isn't a lot of transport water (if you've only bought one or two things) and you'll want to make sure that the critters are submerged. You can always just use a bigger bucket if you are acclimating more stuff at once.
This just how I do it and have had pretty good success. I'd be open to hear other methods though, especially if they are easier. I like easy...