I don't use AIOs so can't recommend any but will say that fitteds will offer you better absorbency as they have more surface area of fabric
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I have had success going from 11pm to 5-6am with bamboo baby behinds, boosted with a couple of mini boosters I made and with longies over the top.
I find that I am so tired and it is so cold that at the 2-3amish feed I just want to roll over and cuddle back under the blankets. We use a big liner and have had no dramas with this combo.