hir- vb. "find", future tense hiruva in Namárië (hiruvalyë "thou shalt find") (Nam, RGEO:67, VT49:39); Hirilondë "Haven-finder", name of a ship (UT:192)
Quenya
hir-
verb. to find
hir-
find
#tuv-
find
#tuv- vb. "find", perfect #utúvië "has found" in Aragorn's exclamation when he found the sapling of the White Tree: utúvienyes "I have found it" (utúvie-nye-s "have found-I-it") (LotR3:VI ch. 5)
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”.