No problem, and no problem.
Other tips - don't feed them for 3 days before the move, that way they will not mess up the bags. Use fresh water in the bags instead of aquarium water, so that they are moved in clean, unpolluted conditions. Double bag them, placing the first bag upside down in the second bag - this will prevent small fish from getting squashed in the corners.
If you really want to go all out, take the fish to a local LFS and have them bag the fish for you using oxygen from their tanks - fish can go an amazing amount of time in the bags if you do this - up to 36 hours!