Is there a way to share a desktop across a home network?

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Is there a way to share a desktop across a home network? I've got two desktops in my room, but I'd rather not have two monitors (since they're both CRTs) hooked up. What I'd like to do is use *something other than remote assistance* to control one computer with the other, or, as my initial question asked, to view and affect the desktop of one computer from the comfort of the other. Also, my phat new computer runs Windows x64 -- which means that it has a few compatibility issues, most notably with iTunes and with Motorola Phone Tools. Basically, I can't connect any of my portable devices, since the 64-bit drivers don't exist for them yet. That being the case, i have to connect my portables to the older, (somewhat slower) computer. What I'd like to do is to be able to connect those devices to that other computer. I can share files from one desktop to the other and vice-versa, but I can't control one with the other. Old: Sttr8 from the box hp pavilion 7865, XP Home New: Self-built Athlon 64xp, 4x300GB HDD, 2x1G OCZ ram, x64