If your new driving lights came with all the wiring and realys you should be OK. However you will not want to splice into the high beam circuit to proved the power to the realys/lamps. When splicing into the high beam circuit you will only want to power the "signal" wire to your new lamps, probably in the "switch" circuit.
This way the lamps with only be able to turn on when the high beams are on, however, when the high beams actually ARE on, you can still turn the driving lamps on and off.
Hope this makes sence.....