The clergyman would changed clothes in the vestry room.
The garments allowed during the Regency were usually plain as all efforts were made to avoid any resemblance to practices in the church of Rome, while still setting the celebrant apart during divine services.
A minister could be paid a “surplice “ fee for conducting baptisms, weddings, and funerals.
Surplice: A white garment worn over the preaching gown.
Bishops wore the Rochet – the white garment– also called the Episcopal Surplice. The black garment is the Chimere. The archbishop appears to be wearing a black gown under his rochet. He is wearing Geneva bands of fine linen. The Chimere is usually made of black satin.
Bishop with lawn sleeves
A clergyman in tippet, surplice, gown and hood. The Black scarf like item is the tippet. It is different from a stole , though similar in shape,. The stole was narrower and changed color with the liturgical year. The stole was considered unlawful at this time. The hood was worn by those with a university degree.
The cope was usually only worn at cathedrals, for state processionals and services on major feast days. The Principal minister and his two assistants, singers, and others in procession could wear the cope.