Sky first
If the house roof is under trees and the shed roof is open, the shed can be the better dish position. If both are open, the house is usually simpler: shorter cable, router near the rooms you live in, and a link onward to the shed.
One service is usually enough
A shed that needs Wi-Fi usually does not need its own Starlink account. It needs a path from the dish at the house: a wireless bridge or a cable, then Wi-Fi inside the shed.

Cable length still matters
A dish on a far shed means the router and the power start at the shed unless the layout says otherwise. Tell us which building you work in, and we will put the dish where it can be reached later.

