In our community, everyone in the altar party wears an alb, that is a seamless white garment.  Priests and Deacons wear stoles and chausubles and dalmatics over it respectively.  An alb is similar to the long white tunic worn throughout the Roman empire in the first century. Dalmatics and chasubles were the outer garments work during the same time period. That Jesus wore some or all of these garments is highly likely. The Roman Catholic custom of readers and Eucharistic ministers in street clothes,  quite frankly, in my personal opinion, looks rather "bush league" and is disrespectful to the dignity of the liturgy. I fully understand that some people find merit and meaning in slovenly, informal liturgical practices, but as pastor, I have made a conscious decision not to go down that road. Here we do liturgy "decently and in order."