Short answer
Choose cloth for the places and seasons where you expect to wear these travel wardrobes. Ask the tailor about fibre, weight, weave and care for the specific options; a city's name alone does not determine the right cloth.
High-twist wool as the backbone, open weaves for the summer legs, flannel for the northern ones — everything unlined or lightly canvassed to pack smaller.
May, June and October take the lightest appropriate cloths; the atelier confirms per swatch.
The full cloth books span fresh open weaves through four-season high-twist to winter flannels and cashmere blends. Bring the tailor your calendar; the shortlist comes back two or three cloths wide.
The itinerary is a proposal: months are planned, dates and venues confirmed individually. Final quotations are confirmed in writing before you commit.