I do wonder though how you managed to get enough socialization time with other people. Scheduling that seems like a massive pain unless there are also a lot of other families homeschooling nearby and in the same age group.
I think homeschooling is a lot easier than it was 20 years ago, in regards getting enough opportunities for socialization. Pandemics, now, they still are an obstacle...
As for socialization, we have a large homeschool community near us. The community has regularly scheduled gatherings, and provides a way for families to work together on teaching various subjects. Other organizations like community sports, 4H, etc. are also good options.
However, it should be noted that socialization won't be (and shouldn't be) exactly like the socialization one receives in public school. The social reality of public school is very strange and not at all like the social reality of the adult world. Homeschooling provides an opportunity to shape the child's social reality to prepare them better for the adult world.
[0] Don't worry, they socialize with plenty of other people