What works for me ... spreading the poop and spent litter together onto the veg garden beds in the fall/winter and letting it age in place right there. If I put shredded leaves or newspapers on top of it, that works even better because the worms (they hate light) will work to the top and break everything down to a nice black compost. Any "extra" poop in the meantime can be tucked down under the top leaves or newspaper and it will break down in place, too. When spring arrives, I move away the top layer and plant directly into a rich new compost. Also works for raspberries and perennials, except you can just spread the litter/poop around those plants almost any time to enrich the soil.
This is my first time having chickens, but I've got a friend who was giving me her chickens' litter and poop last year, so I now have a little experience with it.
ETA: I don't put raw litter or poop onto any growing vegetables or annuals during growing season b/c they get burned or stunted.