The Dogs Trust in Bridgend says over 600 dogs arrived at the centre last year - a record high.
Staff believe the struggling economy has played a part, but added many people simply don't realise the time and money needed to care properly for a pet.
They have urged would-be owners to think long and hard before committing to a dog.
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Andrew Lauder, from Wenvoe, south Wales, has been branded a "serial groper".
The deal is welcome news for the site in Broughton which manufactures wings for the aircraft.
Fans queued for hours to get a glimpse of the Royal Couple as they tour Cardiff Castle and visit a community centre.