Hi Sky!
I'll probably be attacked by some (or most) people here for saying this, but... if you're literally just starting out like you say you are, I think you should learn to play right-handed.
It may not "feel" right at first, but when you're first starting out, pretty much nothing feels right. In a month or two, that feeling you have will go away if you practice a lot.
Several people told me the same exact thing when I was starting out, and I didn't listen... looking back, I think it's probably the biggest mistake I made.
If you play right-handed, you'll be able to walk into every music store in the country and play EVERY instrument hanging on the walls... you'll save yourself LOTS of time and money, you'll never pay for special fees or surcharges, you'll never have to "search" for a bass or be disappointed when you find out that a bass you love isn't available left-handed, and you'll be able to sit-in at jam sessions if you don't have your own instrument with you.
AND if you stick with it and learn to love it, you'll actually be able to TRY really expensive boutique instruments before you pay for them, unlike me, who has had to special order every high end instrument I've ever owned with hopes that I would love it... a few times I wasn't so lucky.
So... that's my advice to you... take it for what it's worth.
Either way, welcome to the forum!!!