Hello,
Firstly, your job posting is very very poorly written and presented. It's vague, as it refers to BUILDING FFMPEG, DirectX (on stackoverflow) and more..
My suggestion , would be that you consider using either one of the following to decode H264 with HW accelleration:
1) Just plain ole' DirectX with Video Acceleration(DXVA) - using C++
2) FFMPEG - built with HW Acceleration - but as a tool(not using API). (To keep things simple)
3) GStreamer
Your budget needs to improve, as this is very technical work- if done with DirectX/DXVA and C++. ;-)
More later,if I hear from you...