Getting a Zoom H1 tomorrow. How should I use it?

This will be my first foray into multi-source capture. I don't even want to bother with hooking it into my Rebel T3i, with it's terrible audio pre-amp and all. Questions?

• Where should I put it? Should I hot shoe it, duct tape it somewhere on the camera, handhold it, put it on a separate tripod, etc? What circumstances dictate what methodology?
• How should I sync it to the video capture? Sync clocks? I should have the internal mono mic to use. Automated software would be nice, especially of the free variety.
• I just have Corel Video X5. Not great, but I have a slew of open-source/free tools to help me encode the final video stream.

The situation dictates the best place to put it. For people talking, rule of thumb is to get the mic as close to the person's mouth as possible. Keeping the gain as low as possible and the mic close to the speaker will allow you to kill off ambient noise and still get good audio.
You can put it on an adapter and on your camera hotshoe for interview style filming, where the camera is set and not touched/moving. There are cheap shock mounts for H1's and a dead cat that works pretty well (I have the grey/white fuzzy one).
You can boom it as well. It is crazy lightweight.
I don't monitor audio separately (I'm not THAT far along LOL) but with practice I learned where I needed to have the settings at.

Syncing in post is no big deal. Just use the hand clap technique (or a clap board if you have one), and line up the H1 audio clap sound with the clap sound from the T3i internal mic. Then delete the T3i audio (audio and video from the camera will be on separate tracks in your editing software and can be unlinked from each other).