I have owned both bows.
The Peregrine has a more pronounced reflex/deflex design in the limbs. It is a faster bow than the Whip, but the Whip is a quieter-shooting bow.
When strung, the Whip is more d-shape than the Peregrine, therefore the string is further from the limb surface at the tips than the Peregrine.
The Whip has a slight thump to the hand, whereas the Peregrine has none. The Peregrine can shoot a much lighter weight arrow without any hand thump, whereas the Whip requires a heavier arrow to lessen the hand thump.
The Peregrine has more weight on the string at it's strung state than the Whip, this is referred to as "pre-loading". At the beginning of the draw, the poundage per inch increase is a bit more than the Whip. The poundage per inch increase when drawing the Whip is a more gradual and overall increase.
All of the above characteristics are common when comparing a slight r/d longbow (like the Whip) and a more pronounced r/d longbow (like the Peregrine).
Both bows are of impeccable craftsmanship. Both bows have a very comfortable grip with consistent hand placement.