Dealing with Sibling Rivalry

[LovesRotties]

Last year I took in two emaciated Pit Bull pups from someone who was not giving them the proper care they needed. Both boys are 1 yr 4 months old now,and are looking great. The problem I am having now,is both continuously fight with each other. Before I registered here,I did a search on the internet about sibling dogs. I came across Sibling Rivalry and it is exactly what is going on with both of them. I have set up an appointment for both of them to be neutered,but I came across a few articles online about only getting the less dominate one neutered? Should I get both of them neutered at the same time,or should I just neuter the less dominate male? My other question is,after I get both of them neutered;will this stop them from fighting each other. I love these boys with all my heart and hate seeing them do this to each other. I now have separated both of them and will not let them out at the same time in the house. If anyone can give me some advise on what I need to do,I will greatly appreciate it.