Here's how I started, tracing that not exactly a good choice of a reference picture, considering it is sort of a side-view and I'm starting by tracing the outlines directly viewing from the x-, y-, or z-axis, and then exploiting symmetry and whatnot. I ended up discarding those eyes and beak outlines entirely.
Basically, I arbitrarily decided I'll organize the main body part like that, partitioned by those rectangular meshes. I drew those meshes line by line, flat on the yz-plane, and then added faces and pulled them in the x-direction. Oh yes, the texture on the tail is from an actual waffle!
Here I have roughly finished the front and hind legs, and perhaps influenced by the designs of others' papercraft models I have physically constructed, that's how I decide how the legs will join the body. I choose not to merge the legs with the main body, so there will be no glue tabs between them, and that'll be just fine.
Since the cartoon is only 2-dimensional and whatnot, I wasn't sure how I should add the eyes to the 3D shape I have created thus far. Here I tried this thing, and it seems to look pretty good.
The waffle tail looks awesome, but it's obviously inaccurate, compared to the original cartoon. Here I have very sloppily made the texture in MS Paint, without using a ruler or anything because MS Paint doesn't have rulers. That's okay. I'll be rotating and skewing the texture anyway.
And then some more minor adjustments, and it's done, hooray! I mean, I still have to unfold and fix a lot of things in Pepakura Designer, but I mean the 3D-designing part is done. Yeah!!
I love Pepakura Designer and all, but its heuristic for deciding where to cut the pieces by default sure is silly. Here is how I would decide where the cuts and glue tabs and orientation of pieces should be. If you look really closely, you might be able to catch a glimpse of my OCD there!
Depth: 24.3 cm (whoa, that's pretty long!)
You can download the above model, which I have designed, no sooner than I have physically built a model myself. Until then, no links for you!