If you still have your old pc with the blockchain make sure they are both on the same network/wifi:
Change the conf (or comman line) of the new PC to connect to the old PC:
-connect = 192.168.2.1 #replace the ip with whatever your old pc ip is.
This way the new PC will only connect to the new pc. It will now only use your LAN/wifi and basically copy over (and verify) the data.
Once you are done you can leave it like that (if you keep your old pc) or remove that settting.
See:
https://en.bitcoin.it/wiki/Running_Bitcoin for details.