1970s "floating" style staircase with green carpet - what do I need to know and do?

[HangerLaneGyratorySystem]

Buying a house with a staircase like the picture below but complete with thick dark green carpet on each tread, and the wood is a darker brown stain/varnish. It's all a bit creaky too, but what should I do or what could I do? What do I need to know? I want to remove the carpet but what then? Paint it? (that's a LOT of sanding!) Does it need checking out for safety? Ideas/advice welcomed!

Thanks all - I think there's some very good points in here, esp about ensuring its safe first. I'm not wedded to keeping it at all, but if it needs removing I am thinking that won't be cheap either - I can't really do much DIY and I live alone so really I am getting people in for everything. Would any issues show up on the survey or should I ask the surveyor to comment on this specifically?

And no, definitely would not varnish the middle bits etc., it does need something on the middle of each tread if I keep it like that. I have to say as the place I am buying needs a new bathroom and various things will need to be checked out, if I have to replace a staircase I might just have to bail on it.

BTW if I had to, or if I could afford to, I'd go for the picture in the middle of @Iamthemoom's post

We’ve stripped, sanded and varnished three staircases in our years as home owners and it was always the cheapest option. Stair carpeting is way more expensive. We bought a good quality hand sander and did it ourselves. Under the carpet it might be stripped wood anyway so might be very little work. I get you don’t do diy though so maybe not an option but price wise, it will be the cheapest.

You can buy varnish with a sort of grip in it which we used on our deck to stop flipping. But I’ve had varnished or painted steps in every house I’ve owned and never slipped so it may be down to the varnish and sanding.

My gran has this type of stair. I don't think anyone has ever fallen down them but we did hang upside with our legs through the slats when we were young!

A house that had 4 children, 6 grandchildren and 2 great grandchildren..

I loved these stairs as child, spent much time upside down from them. Mum put a sofa under so there was a soft landing.

We have stairs like that, put in when the house was built in the late 80s but it does have a small panel at the back of each tread.
They had polished treads which were a death trap but looked beautiful. So very easy to slip, especially if you are carrying a baby. When I was pregnant in the 90s we had a carpet fitter wrap carpet around each tread. So still open but safe.
I have a decorator coming soon to paint the whole lot white but I will replace the carpet with a similar one as I'm replacing the hall carpet as well.
Pic below

@Sortin see this sounds like what I need to do/get done, but do yours make any creaking noises when you go up and down?

@HangerLaneGyratorySystem Stairs don't creak, no, but the landing......