Gender-neutral name change

I didn't really see any posts like this but I'm trans and I've been thinking about what nane to give myself

I'm nonbinary so I'd like a name thats at least passable for male and female and to be honest a big part of wanting to change my name beyond the gender aspect stems from my birth name. Not saying what it is but I was given an uncommon -in the US, I've been told it's common in arab countries- Arabic by my parents, I don't think I believe in Islam anymore and I'm sick of being tied to a complicated name that doesn't resonate with me. (Please don't suggest anything that'd be difficult to pronounce or would be spelled strangely) I like "fuller" names and my top two picks right now are "Cassidy" and "Phoenix" But I don't like names that sound like nicknames like "Cassy" or "Teddy" (at least not as a full name)

Of course I'd prefer any suggestions to be gender neutral but I feel as though naming websites will only get me so far and I want suggestions from a collective of people, please help Edit: When I say "gender neutral" I don't mean a name that is equally as common for both genders, I mean a name that could be passable for either genders. I don't think Cassidy is super neutral or common for guys but the more important thing is that I like it

+I am not trying to pass as cisgender that isn't a concern of mine currently