They were outcasts pre-Dracula's Curse so either they settled somewhere remote or they were nomads and lived off wherever they wandered.
But what about afterward? Did they live among the people who shunned them or did they continue to live apart from them and show up as needed? Could they even have had a whole village to themselves ala Wygol? Some thoughts would be nice.
IGA stated that, upon Simon's victory over Dracula, a village started to build around the Belmonts, and that Juste grew up on this environment, being respected by the people thanks to the Belmont name. So yes, this could suggest that there was indeed a village formed with the intent to be next to the Belmonts due to respect and as their protectors.
However, previous to Juste and Simon, there's already the idea that the Belmonts are living amongst the people just fine. Christopher's legend already existed amongst the people by the time of Simon, for instance. Yet, Simon's story says that, until his victories, the people were not very friendly to the Belmonts at all, which is a strange thing considering they have saved the world three times now AND Christopher's got his own bitchin' legend. This could be a contradiction, OR could mean that the people forgot what the Belmonts did for them (which makes sense if you consider that, by Simon's time, Dracula's legacy is treated as merely a legend).
Simon's/Juste's story above may also mean that they started spreading their influence around. By Rondo's time, Maria and Annette live in the same town (Aljiba). Maria is distantly related to the Belmonts and is the daughter of aristocrats. While we don't know if Richter lived on Aljiba, this could mean that the village that formed around the Belmonts previously increased their local influence by quite a bit, with Belmont offshoots also spreading everywhere and holding positions of elite.
During Nocturne of Recollection we learn that the Belmonts even have rival clans now, which could further show that their influence by Richter's time is wide enough for clans to compete. This is also demonstrated by Shaft's assertion that the Belmonts are the strongest vampire hunters -- he had to learn that from somewhere, and I'm betting this comes from word of mouth of the people.
So, I'd say that, after Trevor's time they started being more accepted by the people, but their exploits did not live long as facts, being soon relegated to folk tales. This made the people ungrateful, but they didn't outright shun the Belmonts until Simon went and kicked Dracula's ass so hard that the people had no choice but to hail the Belmonts as heroes and form an entire village around them.
EDIT: Welp, I removed one citation about Dracula's legend. I distinctly remember one version of it saying something but now that I went to check, I couldn't find it. If I do, I'll cite it again.