Create curved shader with normal mapping

Hey! I am very new to shaders and came across a problem which might be a noob question for others. I found a shader online which curves the surface of objects(I need this for an ednless runner). However some objects should have a normal map which this curved shader does not support. Is there a way to merge this curved shader and the Standard Mobile/Bumped Diffuse shader into one? I have a slight understanding regarding that my curved shader is a "vertex and fragment shader" while the Standard Mobile/Bumped Diffuse is a "surface shader" and that these two are not on the same coding level(or something like that)...

Any help is appreciated! Thanks!