Hi Freeza, welcome to the forum. From your photos it does look like quartz veins in granite. I'm not sure why you'd want to extract the quartz as it's a fairly common material anyway. If you like the look of the pieces you've got, I'd leave them as they are, treat them as specimens. To extract the quartz would require a saw, cold chisel and large hammer, and a lot of hard slog. If you use a demo saw dry, make sure you wear PPE as the dust generated can be dangerous as it can cause silicosis in the lungs.
Also, for future reference, could you add your images to the 'gallery' and then link them in your post, it saves choking up the memory we have on the forum.