hello,
if H's are attached to a C that is attached to an electonegative element (like F or Cl), then think of it as the F pulling away the electrons from the C and H..making the H more deshielded, therefore downfield (shift left) from the inital peak (the highest one to the right).
if there are no electroneg elements, then the C and H are shielded by the electrons that revolve around it., therefore shifted upfield = shielded = shift right..
poorly worded but u get it.