On a good note, shaving nicks only form a minority of my styptic uses. You'll be just fine, but to make SURE, here's a couple of tips:

1) Strop slowly and gently. Speed comes naturally with experience and without you noticing it. That way you save both the razor and Tony's strop.
2) No pressure when shaving. If you need to apply pressure, the blade ain't sharp enough and that wouldn't happen with one of Joe's honing jobs.