What's a simple, cheap treatment for my nose bleed?

Pinch the nose. Pinch the nose till the bleeding stops. Here is a video with more info for you http://www.Youtube.Com/watch?V=dp_i-gja7ui.
Depends. It varies. If it s small amount , does not happen very often, probably relates to nasal mucosa dryness and some simple saline solution may do the trick. If it s not helping, it s getting worse, or you have other symptoms associated(hoarseness, fever, headaches) or bleeding is heavy please see a ENT or your pcp.