Kirby has black nails too so I know all about the anxiety. I don't think the pedicure thing they sell for dogs on tv is a good idea for rabbits. It is so scary to their ears (the noise). It's like us going to the dentist...
I ordered a DVD video from my local HRS and the video showed me a REALLY great way to find out if you are cutting too close to the quick/blood vessel. They keep repeating this mantra: "Squeeze, squeeze, cut": You take the cutter, put it up to wherever you plan on cutting and just sort of apply a bit of pressure, squeeze down twice and if the rabbit doesn't squirm or jerk it's paw away, then you are good to press down and make the cut. Rabbits will always make sudden movements if you are making it uncomfortable by cutting too close for its comfort. I have done this for Kirby the last few times we cut nails and have had no anxiety about doing it. The trick is to go slow, cut a little at a time and don't get overzealous to get it done quicker. If you squeeze twice and everything is ok, everyone is happy and you can make the cut. If you squeeze twice and the rabbit freaks out, then you've gone too far. Let the rabbit calm down, and try again. The neat part is, because you've gently squeezed down on the "bad" cut attempt you left a small indent to mark that location, so you know that you have to do less than that.
This method is provided that you have a tight, steady yet comfortable hold on your bunny. A lot of people have the methods that work for them... one of my buns need a full burrito wrap with a towel to get any sort of hold on his feet. My other one will let me cut a few nails at a time if I lay him in my nook of my lap, on his back. He's not "tranced" because he's very much alert, but he will lay steady for about a minute for me to do the deed very quickly, so I have to split it up into about 2 sessions.
Toby has clear nails because he's a white bun, but I still do a "squeeze, squeeze, cut" to make sure he won't freak out when I make a cut. Cutting too close to the quick even without actually hitting it may frighten a bunny.