Keeping fruit fresher, for longer

I certainly wouldn't wash soft fruit before storing it, I just leave it in the original packaging and store it in the fruit and veg drawers at the bottom of the fridge, washing just before use. I think my fridge drawers are particularly cold, only just above freezing, and most things keep really well.
But in general I agree with other posters, I eat soft fruit as soon as I can - and I always take care to choose the freshest packs in the supermarket. They can very by three days or so and obviously are not usually kept chilled there.
I do use the Lakeland bags for some vegetables as they work well, but most fruit doesn't need them.
I've found that bananas are a bit of a waste of time nowadays, if you buy them unripe they ripen far too fast, even if you hang them up as recommended. I'm guessing that the storage method in transit may have changed over the past couple of years.

Sorry, mistype: Dates on fruit can "vary" by three days or so.

Yes, Fancythat, I completely wrap, say strawberries in kitchen roll , then put them back in the dried container. I find it extends their life. I put a couple of green stalks on top so that I know that box contains strawberries.