3 - 1/2 CDX plywood 5 - 3/8 exterior grade siding, T-111 or equivalent.
3 - 8 ft. 2X4.
3 - 8 ft. 2X3.
20 - 8 ft. 2X2.
126 ft rough 1X2 trim.

35 Sq. ft. roofing.
16 ft. 6 in. flashing.
4 ft. 24 in. wide 1/4 hardware cloth.

8 - 2X3 galvanized hinges.
2 - 2 in. barrel latches.
1 - 3 in hasp.
4 - Spring hooks.
Roofing nails, 3 in wood screws, 6p galvinized box nails.
I like square drive screws because of the much better grip with the driver.

Circular saw
Drill Driver

Notes on my choices.
I used t-111 siding scribed 4 in. O.C. The price was little different from plain and it looks a little better. It is also available in 8 in. O.C. The trim helps seal against wind and rain leaks. The use of rough cut material is mostly for looks.
For the base I used 2X4 studs. These are in ground contact and will rot but I do not like to use treated lumber around animals. Redwood or other rot resistant wood would also work but is more expensive.
2X2s were choosen for the frame for weight concerns. In a structure this size, the plywood sheathing provides most of the strength. Where I was worried about the strength, I used 2X3s. 2X4s are used for the base as these will take a beating from moving the coop and any rot.
I assembled the frame with screws. Nails would work but with the light weight lumber it is a pain to keep things in place. Screws will hold better than nails and a cordless drill driver makes quick work setting screws. The siding and trim are nailed to the frame
For roofing, I used rooled roofing because it is cheap and easy to use.