My Husband & I First Baby!

I am overwhelmed with joy, super nervous but loving every minute of it. I'm pregnant and even typing it feels unreal. 06/3/18 I got this beautiful BFP that showed immediately after taking the test. The only symptoms I had leading to today was extreme fatigue and Sensitive nipples. I honestly felt like I couldn't have kids and I can't stop staring at the Positive test. I am in heaven and all I want is to create a warm home inside my tummy for my beautiful bundle of joy cooking. Am I dreaming? Could this be a Real positive, how rare is a false positive?