Should I breed my dog with AKC or Continental Kennel Club?

My wife and I have a 1 1/2 year old female black lab. She was Continental registered when we bought her. This will be her first litter that we've allowed her to have. However, apparently she has desirable qualities (I guess a slightly broader head than most females?) and she is a great duck retriever. The owners of two different AKC males want to breed with my female. Would this make it more difficult for the puppies to be AKC or CKC registered? Should I instead breed my female with CKC males only?