I will let others more experienced comment, but what I personally have been doing after getting back into the hobby.
1. I keep a 32(or so) gallon tub with water ready to go. I turn on the heater when I know the new corals/fish are coming and match my tank temp. This helps with the temp issue while I am getting setup.
2. I grab a small 5-10w heater and place it into the container I plan on using to combine the corals. Large enough to handle all of the water + enough for doubling it.
3. I dump the bags into the container and then start dumping 1-3 cups of tank water into it. Obviously depends on water quantity from the corals. I add more water every 5-10 minutes.
4. After awhile, I dump 1/2 of the water and then continue adding those 1-3 cups.
5. I then grab some (or one) gallon ziplock bags and fill that with about a gallon of water from my tank.
6. I add my coral cleaner - I use seachem reef dip and drop in 1.5 capfuls.
7. I use the plugs that came in, so I H2O2 (20-32% food grade) the plugs and use a razor blade to shop off anything I don't like.
8. I have two other smaller containers with clean tank water.
9. I take the coral out, dunk it in the first container and shake it for a bit.
10. I then move it to the H2O2 container for a few minutes (maybe not long enough to be valid)
11. I move it to the second small container and swish it around.
12. The coral then goes into the reef dip for 30-45 minutes. Zip lock goes back into the tub so temp stays constant.
13. Once all corals are done I rinse them off and move them to QT or DT.
14. Lights stay off for a couple of hours and all corals are placed on the bottom of the tank.