"I wash the tub and myself."
Translation:Labrum et me lavo.
You have to use se if it was third person for it to be reflexive. But for first and second person you would use one of the forms me, te, nos, or vos depending on who the subject is.
This link will likely provide a better overview than what I just wrote: http://dcc.dickinson.edu/grammar/latin/reflexive-pronouns