So, we home educate our 6 and 8 year olds. We decided to home educate when my eldest was 2.5. I was a teacher before having my children (there are a lot of us in the home ed community)
One is very social, welcomes new children into our regular home ed groups like a pro, makes friends where ever we go, and can hold a conversation freely with children (both schooled and home educated) and adults. She attends a mix of home ed and afterschool/weekend classes.
The other is much more reserved, and takes a long time to feel comfortable in a friendship and has not attended classes until recently, because she struggled to cope with the adult scrutiny. She has been like this from very young, and we have been lucky to be able to work with her to gradually build her resilience to a level where she can now attend classes and play freely with friends.
I think, for me, that balancing of needs, between my very social daughter and her sister who needs more alone time, has been the thing I have thought about more than anything else. If you do have another child, it will likely be something you have to think about too. My friends who have only children, spend a lot of time trying to facilitate social groups for their children too. It's definitely possibly for children in the home ed community to form close friendships, but it takes a lot of work and regular meet ups on the part of the parents.
In terms of academics, because your daughter is only 2, now is a good time to research different educational philosophies. It is likely that the type of learning that works for her now, won't necessarily be what works for her when she is older, and the philosophy that most appeals to you might not be what works best for your child. I was very interested in Montessori when my eldest was little. She is definitely not a Montessori child, and the Charlotte Mason philosophy suited her, and the rest of us as a family, much more.
If you're not sure about home educating, and are not sure you know enough either way, it is a good time to research all of your local options - local state schools, private schools and the home ed community and activities that are on offer. For home ed activities, this can often change year on year, depending on what parents have organised around what their children need. It's important to realise that often things will clash, and it's impossible to do all of the things.
Another thing to think about, is how things will work when you are ill/less able to facilitate your children's learning. I'm currently in the first trimester, and the tiredness and nausea is hard. I'm managing to continue to take my children to their groups, classes, home ed activities at museums and to do our morning table work (2-3 hours of Maths, English and a wide variety of other subjects in short lessons), but know that if I felt much worse, say with vomiting etc, some of those things would be much more difficult to do. Do you have supportive family who can help with taking your daughter to groups etc?
For books from a UK perspective on home education, I really enjoyed Another Way to Learn last year. It's from a Christian publisher, but can be read secular enough. For a more specific book around the educational philosophy we use, Leah Boden's Modern Miss Mason is a lovely read, incredibly reassuring just as a parent. Also Extraordinary Parenting, which is mostly about educating/parenting under pressure, and was written by a British home educator during the pandemic, but feels to me like one of those books that gives you a hug.
Lots of people have raised other important points, so I'm going to leave it here, but I'm always happy to chat home ed, if you want to learn more. It's definitely not the right decision for every child/family though, so it's great that you're looking for different perspectives to help you make a more informed decision.