The principal residence of Constantius I was Trier, as that city was the capital of the province of Gallia Belgica (North eastern Gaul). Below is a Trier example from about the same time.
from the ancient sources, you can get an idea of his movement. See
The New Empire of Diocletian and Constantine by Timothy Barnes
AD 293, March 1st proclaimed Caesar, probably in Milan
AD 293, early summer expels troops of Carausius from NW Gaul
AD 293 repels invasion of Batavia
AD 294, Aug 5 at Cologne
AD 295 visits Italy
AD 296 recovery of Britain
AD 297 at Trier
AD 300 or 301 victory over Franci
AD 302 victory over Germanic tribes in territory of the Lingones
AD 303 German victory near Vindonissa
AD 304 victory over Germanic raiders who had crossed the frozen Rhine
AD 305 crosses from Boulogne to Britain and in a campaign against the Picts.
AD 306, July 25 dies at York