Parameters are accessed with C4DAtom::GetParameter()/ C4DAtom::SetParameter(). See Parameter IDs.
Parameter: Select Pushed
HAIR_TOOL_PUSH_SELECT
Parameter: Surface
HAIR_TOOL_PUSH_SURFACE
Parameter: Use Normal
HAIR_TOOL_PUSH_USE_NORMAL
Parameter: Distance
HAIR_TOOL_PUSH_DISTANCE
Parameter: Strength
HAIR_TOOL_PUSH_CURVE
Parameter: Guides
HAIR_TOOL_PUSH_GUIDES
Parameter: Distance
HAIR_TOOL_PUSH_GUIDES_DISTANCE
Parameter: Relaxation
HAIR_TOOL_PUSH_GUIDES_RELAX
Parameter: Strength
HAIR_TOOL_PUSH_GUIDES_CURVE