I have found that I have a million names I would use for a girl but very few I would use for a boy. I like gentle boy names that aren’t too popular. I prefer Hebrew origins but they’re not a must. I love a cute nickname too.
Rami - this is my #1 pick, and only one I completely love.
My biggest hesitation is that it rhymes with Mommy and I wonder if that would be confusing. I’d really like to have something else to add to the top of my list.
Some Hebrew names I like:
Elior
Amitai
Matan
Nadav
Adir
Harel
I really gravitate towards names containing Ami and Ellie or other young, lively, almost-feminine-sounding but still neutral nicknames.
Names like Asher, Oren, Avi, Ezra, Micah, and Ari are all nice but too common for me.
Some other names with gentle vibes:
Reed
Remi
Rowan
Ellis
Harbor, Haven, Harper - feel very American, but I like as middles
I appreciate any suggestions!
Naming is so hard in general and I think it’s common to struggle naming!
[name_f][/name_f]
Personally I think [name_m]Rami[/name_m] definitely works and would not be confusing with mommy at all. [name_m]Rami[/name_m] reminds me of names like [name_m]Remy[/name_m] & [name_f]Romy[/name_f] both names being very mainstream. I would go with [name_m]Rami[/name_m] especially as you love him.
I think [name_m]Rami[/name_m] is an excellent choice, though [name_f]Remi[/name_f] is a great alternative if you’re really concerned about the pronunciation. Also from your list I love [name_m]Elior[/name_m], [name_m]Adir[/name_m], & [name_m]Ellis[/name_m]!
I like [name_m]Rami[/name_m] [name_f][/name_f]- handsome and charming!
[name_f][/name_f]
[name_m]Elior[/name_m], [name_m]Amitai[/name_m], [name_m]Harel[/name_m] and [name_m]Matan[/name_m] are lovely too [name_f][/name_f]- especially like [name_m]Elior[/name_m] and [name_m]Amitai[/name_m] 
[name_f][/name_f]Also love [name_m]Harbor[/name_m], [name_f]Haven[/name_f], [name_m]Rowan[/name_m], [name_m]Ellis[/name_m], [name_m]Reed[/name_m] and [name_f]Remi[/name_f] for middles for you!
[name_f][/name_f]
Some more ideas:
[name_f][/name_f]
[name_m]Elioenai[/name_m] (nn [name_m]Nai[/name_m], [name_m]Eli[/name_m], [name_m]Lio[/name_m], Leni)
[name_f][/name_f][name_m]Efraim[/name_m] (nn [name_f]Remi[/name_f] or [name_m]Rami[/name_m]? of Efi)
[name_f][/name_f][name_m]Miron[/name_m] (nn Mir, [name_m]Min[/name_m], Ronni)
[name_f][/name_f][name_m]Tal[/name_m]
[name_f][/name_f][name_m]Simcha[/name_m]
[name_f][/name_f][name_m]Yaron[/name_m] (Yara, Roni)
[name_f][/name_f][name_m]Zohar[/name_m] (Zo)
[name_f][/name_f]Aviran (Avi, [name_m]Van[/name_m], Vin)
[name_f][/name_f]Doriel (Dori, Del)
[name_f][/name_f]Elyam
[name_f][/name_f]Lishai / Lishay
[name_f][/name_f][name_m]Herschel[/name_m]
[name_m]Rami[/name_m] is lovely! [name_f][/name_f] I also like [name_m]Elior[/name_m] and [name_m]Amitai[/name_m]. [name_f][/name_f] A few ideas:
[name_f][/name_f]
Amiel/Ammiel
[name_f][/name_f]Ben-Ami
[name_f][/name_f][name_m]Eliel[/name_m]
[name_f][/name_f][name_m]Eliezer[/name_m]
[name_f][/name_f][name_m]Avidan[/name_m]
[name_f][/name_f][name_m]Boaz[/name_m]
[name_f][/name_f][name_f]Eden[/name_f]
[name_f][/name_f][name_m]Yehuda[/name_m]
[name_f][/name_f][name_m]Jonas[/name_m] or [name_f]Yona[/name_f]
[name_f][/name_f][name_m]Lev[/name_m]
[name_f][/name_f][name_m]Noach[/name_m] or [name_m]Noam[/name_m]
[name_f][/name_f][name_m]Yuval[/name_m]
[name_f][/name_f][name_m]Raphael[/name_m]
[name_f][/name_f][name_m]Simcha[/name_m]
[name_f][/name_f][name_m]Mordechai[/name_m]
[name_f][/name_f][name_m]Malachi[/name_m]
[name_f][/name_f]Arieh/Aryeh
[name_f][/name_f][name_m]Eliav[/name_m]
[name_f][/name_f][name_m]Eliam[/name_m]
[name_f][/name_f][name_m]Elihu[/name_m]
[name_f][/name_f][name_f]Shiloh[/name_f]
[name_f][/name_f][name_m]Ori[/name_m]
[name_f][/name_f][name_m]Aviv[/name_m]
[name_f][/name_f][name_f]Shir[/name_f]
[name_f][/name_f][name_m]Lior[/name_m]
[name_f][/name_f][name_f]Maayan[/name_f]
[name_f][/name_f][name_m]Yishai[/name_m]
[name_f][/name_f]
I think [name_m]Amiel[/name_m] is nice because it combines both elements you really love… but I am a sucker for Ben-Ami and [name_m]Eliel[/name_m]. [name_f][/name_f] Another Jewish berry introduced me to Ben-Ami years ago—I love him! [name_f][/name_f] Maybe just [name_m]Elie[/name_m] could work as well, it reminds me of [name_m]Elie[/name_m] Wiesel, and feels like a short and friendly form of [name_m]Eliel[/name_m] or [name_m]Eliezer[/name_m].
[name_f][/name_f]
Good luck!