I would suggest to contact somebody in your town with experience in tropical fish tank with sea water (marine acquarium). They may provide good and practical indications.
I had a freshwater aquarium, and I enjoyed it a lot.
Any Branching corals such as Acropora should be kept in plastic bags half filled with seawater and oxygen. The coral pieces should be fixed in thermocool"" and each piece of coral should not touch each other. Same way other Montiopora digitata collected in plastic bags should be kept in thermocool rectangular containers with some icecubes for reduction of temperature. care should be taken that the coral pieces should not secrete a large amount of mucus. These corals may withstand 24 hours transportation through air cargo.