I like either terry or fleece, fleece is thicker, it is softer at first, but gets stiffer more and faster, terry is more stretchy and not nearly as 'stiff' after washings.
Now so you know the differences in texture:
Fleece is like a thick sweatshirt material, think of your nice thick sweatshirt, it is fuzzy on one side and soft on the other, that is fleece, and it is nice but does get harder (like a sweatshirt)
Knit terry is like a baby towel, terry on one side (small loops not like a regular bath towel) and knit on the other, nice and super stretchy stuff, absorbant as the fleece, it isn't the same material really but the same weight fabric, so yes it is just as absorbant. However it is trimmer and has a more drapey feel than the fleece.
Jersey is like a t-shirt material, it works well enough but you need a lot of layers to make it absorbant enough to work as a diaper. However it is cheaper, but you use more layers of the jersey to get the same absorbancy of the fleece or the terry. IMO it is a waste of time to use Jersey, by the time you get enough layers your not any trimmer than the terry and the time spent cutting all those extra peices is wasted along with the difficulty in keeping them aligned to sew them up!
anyway my opinion only of course, some people love it! ~