The everyday word is
牙龈 — the standard term for 'gums' in dentistry, health writing, and everyday speech. Common compounds:
牙龈炎 (gingivitis),
牙龈出血 (bleeding gums),
龈下 (subgingival),
龈乳头 (gingival papilla). The classical lexicon also includes
齿龈 — same meaning, more literary register, also used in phonetics for 'alveolar' (sounds made at the alveolar ridge).