Hardware Drivers :: Transfer Programs And Files From Dual Core To Quad Core?

I have two laptops made by the same manufacturer and same year, but one is a dual core laptop with an SSD harddrive and the other is a quad core laptop with a regular hard drive. Both laptops run Windows 8.

I would like to transfer my programs and files from the dual core to the quad core. However, obviously the quad core has different hardware.

I am wondering if I simply remove the SSD from the dual core and put it into the quad core (replacing the quad's primary hard drive with the SSD) and simply boot up the quad core, would that be sufficient? Will the quad core recognize the hardware mismatch and automatically correct the drivers, while keeping my programs and files?

Or is there some other, efficient way to make the transfer?