Having graduated with a degree in Animation, I have animated countless 2D and 3D projects using Adobe After Effects, Flash and Photoshop. As you will see from my showreel on my profile, I am experience in VFX, compositing, lighting, rotoscoping and character design.
One solution is to animate the morph in Adobe Flash. The final export will be a vector file so it can be scaled up as you wish at any resolution. I will 'inbetween' the animation by hand and have the girl transform in to a majestic horse smoothly at either 24fps or 30fps, just like in the video reference. If required I can add texture and grain in to the silhouette for a more realistic and organic appearance. We can discuss this in greater detail.
I am confident I can deliver your project within one day and at a competitive rate. I always make sure that my clients are satisfied with the quality of my work and my services.
I would love to discuss your requirements in greater detail. I look forward to hearing from you.