The proper way to deal with split ends is to cut them off. Take a small section of hair as though you were going to put a roller in, run the hair through your first and second finger and cut off the damaged ends. Then take the next section and repeat. The term for this type of cutting is 'clubbing'. Be sure to only take off the very ends in this manner.
Your hairdresser is of course the best person to cut your hair in the longer term. There will probably be a reason for your split ends. Your hairdresser will be able to find the reason and remedy the situation for you.