Step 1: Understanding the Concept:
Polarity depends on the electronegativity difference between atoms and the molecular geometry (dipole moment vector sum).
Step 2: Formula Application:
Check the direction of the bond dipoles and the lone pair dipole.
Step 3: Explanation:
In $NH_3$, the bond dipoles (N-H) point toward the Nitrogen, which is in the same direction as the lone pair dipole, resulting in a large net dipole moment. In $NF_3$, the bond dipoles (N-F) point away from Nitrogen, partially canceling the lone pair's effect. $NH_3$ has a significantly higher dipole moment than $H_2S$ or $CHCl_3$.
Step 4: Final Answer:
The most polar molecule is $NH_3$.