Balm for newbie wounds--Thayers Medicated!
For my fellow newbies who generate nicks and cuts, I want to strongly recommend Thayer's Medicated Superhazel with Aloe Vera, the one with the big blue label. That stuff is like GOLD when you've nicked yourself or gotten a small cut.
Just slap it on all over your cheeks and necks as the very first thing you do post-shave, before even your aftershave, and then your small cuts will stop bleeding.
This will NOT stop a large cut from bleeding...just the small, annoying stuff.
I love it!