The Barnacle blennies are really cute. They do like to argue with each other, but they don't seem to hurt one another. It's so funny to watch them when you have a group of three or five or more. As tough as they may seem to be in attitude for such a little fish, they are sensitive to changes so keep things subtle such as acclimation, water changes and any element additives such as calcium, alkalinity, iodine etc...whatever the ones are you use. I think it's best to make sure your levels of everything are right on the mark and not need to do a water change or add anything in awhile after introducing them.
I don't know what a "Trimma" Goby is. Do you have a scientific name or another common name?
