Been there too! Still there, but improving!
Bonnie,
I know what you're feeling, since I just went clipless last week and have fallen 4 times, 3 times on day 1, then once when I thought I was ready to go out on the roads after practicing hours on the trainer/in driveway, but, alas, my brain said no and my body went whomp. My left leg looks like a war zone, with bruises all up and down and my knee has two scrapes, plus I still have scars there from my run in with a NASTY dog at the end of April.
The good news is that things will get better. I just came back from 23 or so miles, no problems. However, I must say that the learning curve does take some getting used to. The traffic thing I am still not up to yet, same with any hairy hills, up or down. As other gals on this site have attested to, as well as my DH, you will learn how to do this and it will become so much easier. I think the more hours you are actually in the saddle will help. A guy my husband rides with, retired and new to cycling, just went clipless and it was hard for him, but he's getting out there and doing it. He and my DH just did 94 mi today, and this older gentleman knew on a truly massive hill that it was just better for him to walk up it than try to contend with clipping out on the way up and risk falling. However, near the top he tried to clip back in and promptly toppled over. But he got back on and continued. So, you just have to keep trying and it'll get better with every ride.
Preventing clipped-in falls
One thing my BF told me when I first started riding is to downshift before you get to a stop. This way you're in an easy gear to start from.
I find that this also helps prevent me from falling over. For some reason, it seems like I tip over more easily when I'm in a higher gear, and I don't have the momentum in my pedal stroke to clip out.