Lighter, here in the UK the two biggest myths about home ed are to do with stable routines and socialising. You can create your own routine. Because my son has health problems ours is very fluid and fits around what he can and can't do at the time, but for us that is 'stable', if you know what I mean? He doesn't sleep too well, so sometimes by 10 am we've done a couple of hours reading, made some biscuits and cakes, done a bit of paintng, couple of things on the computer, been out for a walk - you get the idea. A lot of people I know spend two hours a day on the whole getting ready and getting to school (and then home again) thing. Imagine how much you can get done in two hours of study - all in the time that some people take just getting to and from school.
You can do structured courses on-line if you feel more comfortable doing that, you can buy complete study packs, pick and choose bits from the syllabus or turn the whole lot on it's head and just do it as it comes. You can spend two months solid learning all about Greece or you can do a bit of lots of things every day. There's so much choice and I bet your girls will love to be given some responsibility when it comes to figuring out what to do and how to do it.
With regards to socialising - my son currently goes to after school club three days a week and holiday club for full days through each holiday, apart from Christmas. He goes to football training, gymnastics, karate and disability sports on a weekly basis, attends a local craft group once a month and I'm currently looking into art classes, sailing, horse riding and golf. That's on top of the usual play dates, trips to the park, meeting up with friends and playing outside with the neighbours. And this is an autistic boy who, four years ago couldn't look at anyone and couldn't say his own name.
It's not the same for everyone, obviously, and it depends what sort of place you live and how many things you are near to but honestly, it's opened up a whole new world for him (and me too). There are probably home ed groups in your area as well so you can get together with other families, although I guess that depends how rural you are? Also bear in mind how small the internet has made the world - your girls can contact other home ed children on-line, a lot of groups do pen-friends and that sort of thing. There's masses out there once you get looking at it - probably too much, to be honest! It can be a bit over whelming at the start, like anything I suppose?