I write webpages and JavaScript files. Can I stop being warned about my own pages when I try to open them?

Whenever I try to open one of the web pages or JavaScript files I have written, the TextEdit program and every browser will warn me that it was recently downloaded, and is dangerous to open. It wasn't recently downloaded, I edited the document and saved it. Can I get the system to recognize my files, and not warn me about them? I don't mind being warned about other people's work -- it is comforting to know the system is watching out for me.

I recently upgraded to OS X Lion, and it happens since then.