To me I would assume it's Lie-ra.
Leera would garner Lira to me; it sounds like the old Italian currency.
I pronounce it Lie-ra and I prefer it that way too.
I pronounce Lyra as LYE-rah.
I say it as Lie-Rah.
I knew a Lyra and she prn. it Leer-a. That makes sense to me because the lyr reminds me of lyric.
I found this on sheknows.com and could explain the prn. but I'm still not sure.
The name Lyra is a French baby name. In French the meaning of the name Lyra is: Of the Iyre. Song.
The name Lyra is a Greek baby name. In Greek the meaning of the name Lyra is: Lyre (medeival instrument). Lyrical."
I originally pronounced it leer-a but then I saw the movie and they pronounce it lie-ra. I think both are nice.
I would think leera, and like that sound better than something that sounds like liar, but then again I don't mind Lila which sounds so similar,... So I'd probably grow to like the lie-ra prn as well.