The most common Quenya verb for “find”, most notably appearing in the Namárië poem (LotR/378), based on the root √KHIR of the same basic meaning (PE17/75).
Neo-Quenya: For purposes of Neo-Quenya, I would mainly use hir- in the sense “find something previously lost”, as opposed to tuv- = “find something new = discover”.
hir (hird-), pl. hirdi, noun "entrails, bowels" (PE13:161)