Nuclear power reactors offer an intense source of anti-electron neutrinos ($\bar{\nu}_{e}$) for investigating coherent neutrino nucleus elastic scattering (C$\nu A_{el}$ $-$ a Standard Model process) at low-energy in the complete coherency regime. Furthermore, they offer avenues for probing the beyond Standard Model (BSM) aspects of C$\nu A_{el}$, including various low mass light mediators and non-standard interactions. The TEXONO experiment employs state-of-the-art point-contact high purity Germanium detectors at $\mathcal{O}$(100~eV$_{ee}$) threshold to study neutrino physics at the Kuo-Sheng nuclear power plant. In this presentation, we will give an overview of our research activities and present latest results in probing SM and BSM physics with C$\nu A_{el}$.