Saltwater fish has a great section, but here is my advice, and I learned it the hard way.
Do you have your QT set up? I hope you do.
Set up the atmosphere. Dim the lights, play some jazz, light some candles...erm, just dim the lights.
Then, start with the more delicate of your fish. I assume that you have been floating the packets for 25 minutes. Then find yourself a good clothes peg, peg your packet inside a bucket, and start dripping. Rate of 15-20 drops per minute has worked well for me for fish, though I'd go slower for inverts. Observe fish. Increase rate of drip if fish do not show signs of distress. Slow down if they are. You can drip multiple bags of fish this way, if you have the tubing. I really do not advise putting all your fish in one bucket as they are already stressed and that will aggravate it even more.
When you have dripped approx half a cup of aquarium water into your bag, empty out half a cup of water from the bag. Keep dripping, replacing, emptying until the bag contains aquarium water, and not bag water. Net out the fish and place it in tank. If it is a clownfish or the like, use a specimen jar (cheek spines). Do not put the lights in your aquarium on today. If possible keep the lights around the aquarium low for the entire day.
It might seem like an effort, but whenever I have followed this, I have had better adjusted fish in the morning.