Step 1: Sodium bicarbonate, \(NaHCO_3\), is the salt of a weak acid (\(H_2CO_3\)) and a strong base. When titrated with HCl, a strong acid, the reaction is \(NaHCO_3 + HCl \rightarrow NaCl + H_2O + CO_2\).
Step 2: At the equivalence point, the solution holds dissolved CO2 and carbonic acid, so the pH is acidic, around 3.5 to 4.
Step 3: The indicator must change color in this acidic range. Methyl orange changes color between pH 3.1 and 4.4, which matches the equivalence point.
Step 4: Phenolphthalein changes color between pH 8.2 and 10, so it would turn colorless well before the true endpoint and is not suitable here.
\[\boxed{\text{Methyl orange}}\]