I am long past trying to turn myself inside out to achieve the good graces of someone who probably doesn't have any (good graces). Asking me to give up my dogs - who give me so much pleasure, companionship and love - would be like telling me to turn my back on my kids. And any man who would ask such a thing isn't worth my time. Someone who would ask that won't STOP asking you to give up things until he's the only thing left in your life, and you're totally dependant upon him. Dangerous ground, that
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On the other hand, there's a chance you misunderstood what he was saying? Was he trying to boost himself by saying that it would be hard for you to find someone when you had two dogs, but he doesn't mind them? That he's a good choice *because* he accepts the dogs?
If that's not the case, then it is what it is: he's already dumped you once; don't give him a second chance to do it again, especially after he's separated you from your furbabies. The dogs love you *without* and strings or conditions ... the same cannot be said about him.
Just my opinion ...