There are a few methods to making the decals for that car painted black that will work. A lot will depend on how perfect you want it.
Option 1 is to print the graphic on clear decal paper, and when cutting it out, cut out the same shape out of white decal paper. Then trim the edge of the white slightly smaller. When you are ready to apply your decals, you will install the white background first. Once satisfied with the position, apply the colored one. The black fogging around your artwork should hide the edge of the white decal below. I would recommend some form of clear coat to protect the decals and finish.
Option 2. Print out your decal on white decal paper. After you cut out the bird, run a black sharpie around the edge. This will help hide the edges. Let it dry well before dipping, or the method I use now... make a small decal sized puddle on the bench and sit the decal in it. If you trimmed the edge right, it should be barely noticeable.
One other choice is basically the same as option 2, but requires an airbrush and good control. Make the decal on white paper, and extend the black area on the master out a tad farther. Then apply your decal to the body. Clear coat it and then start painting the body black up to and slightly onto the decal's darker edge blending the decal into the paint. By the time you're done clear coating, the edge will pretty much disappear.
One more thought, and that's to mask out the bird design before painting the body, leaving the white where the decal will sit. paint the body and remove the mask. Where the decal goes will already be white so it'll pop color-wise.
Hands down, though, the Alps printed decal would be best if you can find someone who has one.