I had to buy a desktop since my laptop died because of a glass of
wine. I want to boot from my laptop's Windows 7 in my new machine
(every piece of hardware is different but it's still intel/ati), how
can I manage that?
It might not be possible the HDD in your laptop might be damaged. If its not damaged then Acronis True Home Image would be able to with the Plus Pack image the entire hdd and allow you restore it on a different hardware configuration.
Today, WIndows 7 is crashing at the very beginning of it's loading.
I've read about Sysprep.exe
and I wonder if I still do that even if my system doesn't boot or if
there is a similar bootable tool?
Its crashing because you are trying to boot on different hardware. Until you resolve that conflict even if it wasn't crashing at the point it is, Windows wouldn't like being booted on different hardware, I suggest just transfer the personal date and reinstall programs.
I can't reinstall from scratch because I haven't note the Win7 product
key and I'm not able to find it using ProduKey.
Even if you do purchase Acronis True Home Image, your license is not legally allowed to run on anything but the laptop, so you won't be able to activate it.