A back carrier works, but it's hard to get a secure back carry with a 7mo on your own - I wouldn't suggest it. Also it will fuck up your pelvic floor if you don't know how to properly manage lifting, which they don't teach you in the UK. I wouldn't bother with the carrier unless you're having the feeling that you would desperately love to go around with a little baby bundle on your back (and if you do, sling meets and sling libraries are excellent for support with this!!)
That stage when they can nearly crawl/sit but can't quite do both yet is enormously frustrating for both of you. It is much easier when you can plonk them on the kitchen floor with a small saucepan and a wooden spoon or have a specific cupboard full of non breakable things that they can explore while you get on with things. Once they are mobile, they tend to be happier to potter about between rooms and you can pop in and out, keeping an eye on them or just doing something on the other side of the room they are in.
Of course then you get to the lovely stage where they are taking things out of drawers as fast as you're folding them and putting them in! That's another challenge.
I think it's fine for standards to be lower when you have little ones. Prioritise anything which is related to health and safety - food prep areas, bathrooms, and after this anything which makes your day run smoothly - clothes washing, anything like lunchboxes ready, batch cooking, keeping floors clear etc. Everything on top of this is a bonus honestly!
And identify some "top priority jobs" that need to be done when there are two adults present such as the bins being taken out, the dishwasher being emptied (I found this was unsafe to do with an older baby/toddler as they invariably tried to climb in, grab sharp knives, breakable glasses etc) or anything that can't be interrupted without consequence, such as washing up or hanging up wet clothes to dry (two tasks I have blissfully now outsourced to machines). - I mean this because for example if you leave the washing up halfway through and then get stuck with DC for a longer time, you end up coming back to cold greasy water that you have to drain and start again, which wastes time. (And washing left wet in a machine is OK, but left wet in a basket = creases)
Other jobs, like folding laundry and putting it away or so on, try to do these in an "interruptible way" so for example I tend to fold directly from the dryer/airer into a basket, and then the basket can be put to the side somewhere, rather than piles which can get kicked over, fall over, get mixed up with dirty stuff etc which all just makes more unnecessary work.