The first thing to check is whether you already have the hardware you need to do it all already.
Does your new PC have a firewire port? You'll def need that to capture from your MiniDV camcorder (along with a firewire lead of course).
Also, if your camcorder has analogue inputs and passthru capability then you already have everything you need. If so then your camcorder will be able to act as an analogue to digital converter and then you can capture the resulting digital signal thru the firewire port when the camcorder is connected to the outputs of a VCR. I haven't personally done this so not sure of camcorder settings.
If not then you'll need an analogue to converter box. These are usually USB. The one I have is a Dazzle Fusion which also acts a multi card reader as well. I capture from it through a USB2 port and I'm happy with the results so far given the quality of the original VHS. There are many of these on the market and probably just about everyone in this forum will have their own preference. You shouldn't need to pay more than about £50 for one of these capture boxes that 'will do the job' though.
Hope this helps.