What's the best digital camera to use for good infrared pictures?

And until I get another camera, is there any possible way to take them with a Sony H1?

If you're willing to spend $2000 for the body of a DSLR, you want the Fujifilm S3 Pro UVIR. It sees all the way from infrared to ultraviolet. If you can't afford that, try the Fujifilm IS-1. The IS-1 comes with a lense (since it's not SLR), doesn't see ultraviolet, and doesn't see as much of the infrared spectrum as the UVIR. I think it's less than $1000.

I took okay pics with my Minolta Dimage and I've been saving my money for something better. The link I've given has some great info for you.

sony H9