I trim my puppys’ nails about once a week. Like everything else about them, their nails grow very quickly. They can present painful nursing sessions for their moms nipple area so I try to keep them as short as possible.
The other benefit of trimming their nails this often is that they get accustomed to the process. Ideally I don’t trim too close but if I do, I always have a jar of styptic powder nearby to dab on the offended toe with a q-tip.
Just FYI, this is the nail clipper I use. My daughter used it when my grandson Lucas was a baby. It is perfect until puppies are about 4 months old or so.