Local anesthetics work by reversibly blocking voltage-gated sodium channels in nerve fibers, preventing the generation and propagation of action potentials. They are classified based on chemical structure as esters or amides and differ in potency, duration, and metabolism. Common local anesthetics administered by injection include lidocaine, bupivacaine, and procaine. They provide surface, infiltration, nerve block, and regional anesthesia and are used for procedures like wound suturing, dental work, and childbirth with minimal side effects when dosed properly. Factors like dosage, site of administration, pH, and addition of vasoconstrictors influence their effects.