I would use an air pump to fill the bags with air if you go that route, your breath contains more co2 than necessary for this type of thing. Since your water parameters are possibly different at your destination, I would take as much water from either your old fish tank or (possibly better) from your tap before you leave (assuming your tank water matches your tap water). When you are settled, before you get into your regular water change routine I would do successive 20% water changes until your tank water is starting to look like your new tap water, and then I would resume your normal routine. As the fish are stressed, I would maybe skip a day feeding here and there, based on how the fish are doing.
Finally, your question of acclimating them, if you do the bag method I would acclimate them just like when bringing fish home from the store. If you are doing the tote method you can put individual fish in floating plastic containers and acclimate them that way (follow the same steps as with the bag method but remember to pour water from the tank into the dish since temperature transfer isn't s effective through the thicker material). In either case I advocate gradually mixing the water before putting the fish in.