Crikey... I look after 4 under 2 and a half,at the same time from 8-6 if they did anything like that that I would be shocked! They have their moments though.
Make your daughter be part of everything you do. My mindies learn to tidy up from a very young age, before lunch, before nap etc. They know which baskets take which toys, sometimes they get thrown all together, but hey, they have made an effort and I can re-sort later, but they get the idea.
Mess encourages mess, and if they have too many things out they have no idea of what they want to play with, they get confused then distracted. I hate it when they start to fall over and tread over toys. They know that if they want another basket out, they put one away, or which ones they can have out together.
Sounds like your little one needs some planned activities with you at certain times of the day. My littles have a lot of free play with me just keeping an eye on them, as EYFS is all about taking the lead from the child, but they need guidance.
How about getting her to help with pairing socks from the washing, sorting crayons out into the right boxes, having a cutting session and then teaching her to clear up. Getting her to lay the table, Ofsted commented in my report about just 2 year old doing just that, working out how many plates, cutlery etc is needed and placing it correctly. It's fun for them and educational.
Drinks are always at their little table, and they have to available for them all day on demand, preferably topless cups,and able to pour for themselves from 2 onwards ( Ofsted) I have a cream Berber carpet in the playroom, I put a piece of similar coloured lino/cushion floor stuff, a remnant at £5 under the table that is wipe clean. I have a huge cream throw over the sofa, that gets changed regulalry, so that they climb up on to read books, cuddle and play with the cat. They love to use the toy dustpan and brush under their table, taking turns to sweep up the mess of dropped peas and pasta!
If you start as you mean to go on, reinforcing and praising the behaviour and practice you want, they soon learn as little children love to please.
Children are only little for a short time, enjoy it, but teach her life skills and you will both get more out of her childhood without getting stressed!