Decide where you're going to grow your potatoes next season, and manure and dig into that plot, then leave for the winter frosts to break down the soil.
As for the rest, I would stack it and cover it for the winter. In the spring when you've planned out what you're going to grow and where I would spread it and dig it in over your allotment, except where you are going to plant root vegetables.
Root vegetables do not do well in freshly manured ground, but by the following season the areas you manured the previous season will be fine for them.
I use a bit more on the area where I'm going to grow beans, to improve the structure of the soil and aid water retention.
Brassicas (cabbage family) do not do well in freshly manured soil, but the addition of a little lime can counteract this. However you can't grow potatoes on land that has been previously limed as they will get scab - that is why it's important to plan where you grow things and understand a bit about crop rotation. 
Information on these sites should be helpful:
http://apps.rhs.org.uk/advicesearch/profile.aspx?pid=124
http://www.allotment.org.uk/grow-your-own/allotments/crop-rotation/three-part-crop-rotation
If it's not clear ask away, there's loads of people on here only too glad to help 
I suppose I ought to add that some people worry about using stable manure, because of the risk of getting oat seeds in the manure. It doesn't worry me on a veg patch as they're easy enough to hoe out. It would be more difficult if I used it in a herbaceous border.
There have also been concerns because some straw has been treated with a herbicide which remains in the soil and affects the plants grown in it although I think that this is less of a problem than it has been. For your own peace of mind it would probably be good to check with the person supplying your manure, but there are probably other people on this forum who are much more knowledgeable than me about this.