Well you're in for deterioration at the very least, there's some HDMI capture cards, but they are over $100, so not at all worth it.HDMI cable.
Probably the best quality transfer you'll get at a reasonable price is S-Video, while it isn't digital to digital, it is at least RGB, so won't have strobe effects. You'll be looking for generic 'VHS to DVD' devices in markets, they will have the needed plugs and software to get video off a STB.