Hi Jade1414 and welcome to Scarleteen!
Yep, there are plenty of people whose labia are bigger on one side than on the other. You mention having read up on this subject already, but if you haven't given these pieces of ours a read I think you might find them helpful: Give'em Some Lip: Labia That Clearly Ain't Minor
, Vagzilla! (Or, All Genitals Great and Small)
In terms of your worries about how this will influence sex with a partner, can you be a little more specific about what you mean when you say you fear it will feel "weird?" And, as for the fear that a partner might not be aware of the (totally normal) variations if human genitals, it may help to keep in mind that if someone is not mature enough to handle the realities of the human body, then they're not mature enough to be someones' sexual partner.