I think that sounds like a perfectly good plan if it's what you feel most comfortable doing. The NHS doesn't 'allow' you to do anything. Your place of birth is your choice. They can advise you of the risks, just like they would do if you opted for a planned c-section, but it's your call to make and they will support you in that. Lots of ladies deemed 'high risk' choose home birth and have perfectly straightforward births at home. Our local team in particular makes a real point of supporting 'high risk' births at home because they believe it's your choice to make. I think it's more of a matter of what the risk is and how comfortable you feel about it. If it's just because it's your 7th pregnancy, there are many, many grand multiparas who birth at home and it's not really considered much of an issue. But for example, if you have a congenital heart defect that might need emergency care during or after birth due to cardiac issues in the past, you might decide you want to be closer to hospital. I had my first at home, though it was a low risk, healthy, straightforward pregnancy and it was wonderful.
As for having your children there, it depends on your kids (their ages, how well they can entertain themselves, how much they might demand of you on the day, etc.), whether you need quiet and privacy when you birth, what other support you might have to hand. You've obviously arranged childcare in the past with your 2nd and onward pregnancies, so even if you did decide you needed extra hands on deck, then you'll already know how to do that from your previous births. I would say definitely have someone there, nearby or on call who could come and stay with them, if you needed to transfer, or if you just needed some more privacy. You never know what might happen or what you might need in your birth space on the day, so it's always good to have a back up plan. I plan to have my daughter at my next birth (she'll likely be 4 by then, not pregnant yet), but we will have MIL and friends on call, but not actually present at the birth, in case for any reason I need to go into hospital. My husband will also mostly be there to support her as I didn't really feel like I needed him to do much the first time around and I prefer to be alone anyway. There are also sibling doulas who will work directly with your other children, rather than specifically to support you, during birth, so that might be an option as well (or a new doula in training who might just want some extra experience of attending a birth, some would probably do it for free to write up as part of their training). I think that all sounds completely realistic. I think the main thing is, do you want to have a home birth? I wouldn't do it just because it seems easier than sorting out childcare, but do it because it's what seems most relaxing and safe and comfortable for you.