Chimeric proteins comprising a sequence nonspecific single-stranded nucleic-acid-binding domain joined to a catalytic nucleic-acid-modifying domain are provided. Methods comprising contacting a nucleic acid molecule with a chimeric protein, as well as systems comprising a nucleic acid molecule, a chimeric protein, and an aqueous solution are also provided. The joining of sequence nonspecific single-stranded nucleic-acid-binding domain and a catalytic nucleic-acid-modifying domain in chimeric proteins, among other things, may prevent the separation of the two domains due to their weak association and thereby enhances processivity while maintaining fidelity.