This paper establishes the \(L^p\) boundedness of singular Radon transforms and related maximal operators associated with polynomial mappings. Compared to existing results, our approach weakens the smoothness requirement on the kernels, replacing it with a Hölder-type condition. Additionally, we relax the size and cancellation assumptions on the kernels. The bounds we obtain are uniform in the sense that they depend only on the degrees of the underlying polynomials, not on their specific coefficients.