The road to Wigan's tears (OT)
Methodist circuits, in theory, provide a minister for each church (rotate after 3 years I think) — Alan C
Sorry Alan but that's not accurate. A circuit will usually have more churches than clergy, this has always been the case. The superintendent minister (aka "the super") has a similar role to a bishop (in American practice he is called a bishop), approving preachers (ordained clergy, local preachers, on note and on trial), and being responsible for dogma and discipline. One big job every quarter is drawing up the preaching plan to ensure that all the ministers rotate around the churches in the circuit. Local preachers are free to be more restrictive in their availability. The rotating clergy of course are required for Holy Communion which is much less frequent than in the CofE. Pastoral care of the churches is from a particular minister. A minister might easily have four churches, one larger on and then smaller ones, a bit like a united benefice.
[warning: I may be getting a little dated here] When a minister is leaving a circuit the stewards of the churches under his care will invite [whole process simplified] a new minister for a period of four years. If approved by Conference then the new minister will take up his post on 1 September, thus there is no interregnum (except in the case of a death). As the four year spell comes towards the end, if the stewards are happy they may issue an invitation to extend the minister's stay. In the 1980s (I did say I might be a bit dated) common stays were 6 or 7 years.