I used to take mine to the vet. Haha. I have started doing it myself and find that different rabbits like different techniques, so try a couple. Hannah will not be held, so putting her on a counter and wrapping her up in the blanket while one person holds her in place works. Otto just kicks if his feet are touching anything, so I hold him under the chest and bum with his feet sticking out.
Clipping right above the quick is good - you definitely don't want to nick it and make it bleed. Typically the quick will recede over time if you keep the nails short. When they're allowed to grow very long, the quick grows as well so you won't be able to cut them super short. My bunnies are both regular furred lops, and I start thinking about cutting their nails when they poke out of the fur on their feet (usually about every 6 weeks)