Congrats on your bike!
I'd suggest putting your bike on a trainer when you get the clipless pedals, and get used to the motion of clipping in and out. Make sure you work with your LBS to find pedals that are easy to get in and out of. Some are easier than others.
A lot of people suggest trying them out on grass first, but that seemed quite scary to me, on skinny tires. My son took me out at 6 AM on a Sunday, in our quiet neighborhood, and I was riding with the pedals in about 5 minutes. I also had been using my shoes with clipless pedals in spin class for a couple of months before this. I spent about 2 weeks riding with only one foot clipped in, on very quiet streets, and then I said, "this is stupid," and never looked back. I only had one stupid fall, but it was months after I started using the pedals.
And, I am not that coordinated, so if I can do it, anyone can.