My daughter is 8 weeks old and we did use the baby clippers on her at first, but they weren't that good because the nails were still soft. We now use adult clippers in the small size.
In order to keep her calm during this, we do it when I breastfeed. I breastfeed whild dh clips. She is so interested in eating that she could care less what you do to her.
This works best for us and we haven't had a clipping accident yet!