If you're really set on breeding, get both dogs tested for diseases common in poodles first.
Are you aware of all the health problems poodles are prone to? Poodle Health
shows the most common diseases found in poodles, of which there are 10
It's not right to say that any dog breed has "easy labour and deliveries." That's like asking if Hispanic women have less problems in pregnancy than Causasian women. Each dog is individual and unique.
An example would be Ditte, our samoyed's (Kirby's) mother. Samoyeds are a notorious hardy breed, but Kirby's mother experienced extreme labour complications and had to be rushed to the emergency vet around 1-2 in the morning for a Cesarean section. Three of the eight puppies died. Had Ditte not been rushed to the vet, she would have died as well along with ALL of her puppies. Even though Ditte was a Finnish champion, had excellent hips and eyes, she still had birth complications. The breeder had her spayed once the puppies were weaned.
Are you prepared to pay the cost of vet fees if such emergencies arise? Also, do you show your poodle? Showing her would at least give you an idea of whether or not she meets up to the breed standard.
Do you know the MEDICAL background of both poodles (male and female)? Even if the male and female you want to breed check out fine, you should seriously consider NOT breeding them if one of the dogs in their lineage either was not checked for serious health conditions or was known to have a serious health condition.