An Army of One started with complete social upheaval and the construction of a new society. Some characters are travelers, like the space traders. Many have settled in outposts, and Sargasso Base seems to have the largest conglomeration of people coming together to make homes. The AYES are sapient starships with artificial intelligence, most of whom have a human pilot. A few allies are living on planets in more conventional housing. So there's quite a range.
Beneath the Family Tree is prehistoric fiction; it mentions people wandering and using makeshift shelters.
The Blueshift Troupers features the crew of the hiveship Omphalos. They travel around solving problems on different planets, and most definitely think of their ship as home. However, their work often puts them in one location for months, so in that regard they're akin to migrant workers. The shapeshifting also gives them a strong connection to each new culture, and in this sense they may be considered as having a series of medium-term homes.
In Clay of Life, Menachem and Yossele are homefree, being itinerant blacksmiths who share a traveling wagon. They have helped other people who are homefree, homeless, or working poor. This is considered a normal and successful lifestyle in their culture. Also worth nothing, the Jewish community there is thriving enough to have a network of eruv locations, a "traveling commons" where folks can create a roadside household for Shabbat.
A Conflagration of Dragons is about what happens when multiple strikes take out all the major cities, making everyone homeless. Refugees flock from one city to another, while there are still cities, but mostly people wind up in tents, wagons, caves, etc. feeling very much not at home. It is neither normal nor healthy, but it's what everyone gets stuck with after the dragons burn down all the cities and eat the heroes.
Diminished Expectations has a lot of homeless characters, but that series is outright dystopic. Some have tents, or squat in bombed out buildings, and so forth. It is ubiquitous, but not very good for anyone.
Frankenstein's Family has the Căldărari caravan and assorted other traveling people who are homefree. The Căldărari have vardos in a caravan; others may have a wagon, but many of the traders and workers are on foot. The traveling zoo is a demonstration of how a dysfunctional home can hit the road. Opinions vary about how respectable any of this is.
The Godship Wanderers dwell in a living starship, who does not have a home but rather is one.
The Origami Mage, Path of the Paladins, and Sort of Heroes are probably best described as having homefree protagonists who travel. Reception varies, but seems more positive than negative.
Polychrome Heroics has a bunch. Cassandra ran away from home for valid reasons, and is currently living with a friend; not homeless in the sense of having nowhere to go, but also not having a home of her own. Danso and Family started out homeless but have since found a home with Hannah. Officer Pink features Turq, who starts out homeless and is trying to get to where he'd feel comfortable having a home again; he's currently staying much of the time in Ansel's gazebo. Nebuly is switching from homeless to homefree, having moved into a vardo with Amergin and Marjoram in their caravan. Doobie O'Donohue is homefree, rambling happily among his many relatives. Assorted other characters fall in various places along that spectrum. Terramagne-America is more supportive of homefree and more accepting of homeless people than local-America is.
Tripping into the Future has a protagonist who loses everything, winds up with a place to live, but probably does not feel "at home" there.
So you can see a pretty wide range of portrayals above. If this topic interests you, feel free to prompt for more of these characters, or suggest others. I am especially interested in getting such input from readers who are or have been homeless or homefree.