Luckily half an acre is quite a lot for ducks and chooks so take heart!
One thing I advise based on how we manage our birds, is always, always plan ahead e.g. think now what you will do next winter, and how many birds you will have then
We have a separate wood chip area in the winter for the larger flock - they still have grass - but tend to stay in the barked area in bad weather. This makes access for us a whole lot easier!
This compound area is around 30foot long (ish) X 18foot and filled with deep woodchip on a base of tamped down fine builders agregate. All the woood chip gets scalped of spring and autumn and used for mulch for the borders. It has gravel steps leading up to it and a gravel pathway edged with gravel boards running the length inside .The hen houses are to the side of this pathway making cleaning a doddle. I have large houses raised of the ground, the main house is 6X4 on a platform 18 inches of the ground so is rat proof and dry inside.
The whole area is surrounded by extra high green electric poultry netting, this blends into the background and is moveable so I can chop and change the grassy area or keep them completely of it. In front of the pathway and just outside the chicken area I have planted a narrow pretty long border.
I usually keep the ducks separate and this is a must for us in the winter, or they will wreck the place,and coupled with our seasonal drainage issues can lead to a nightmare if we are not careful! We keep them in the veggie plot during the worst winter months and then back our onto their grassy run in the spring. Their pond sits on paving slabs in the veg plot and the pathways are dressed with tree surgeons chippings (free) Needless to say my beds are free of weeds, grass or slugs!