Itinerant means travelling from place to place to find work. An itinerant preacher.
It describes work rather than homelessness, since the travelling is what the job requires. Itinerant workers built most of the world's harvests and railways and are rarely named in the records.
1adjectiveitinerantTravelling from place to place to find work.
“He spent nine years as an itinerant teacher of music.”
itinerant is a quality.
Latin itinerans comes from iter, a journey.
Latin
itinerāns
English, today
itinerant
Built from
From Latin itinerāns, present active participle of itineror (“travel”), from iter. by surface analysis, itiner- + -ant.
Etymology from Wiktionary, CC BY-SA