Continuity mistake: There's a scene that opens with Carrie and her boyfriend in his apartment, and he's sitting with baby Brady on his lap. The camera cuts to another angle, and it's very obviously a different baby.
Out of the frying pan - S6-E16
Continuity mistake: The dog owner says the dog is a looser "and it's a shame", while Charlotte's left hand covers the dog's body. A shot later it's just over the dog's front leg. (00:10:45)
Out of the frying pan - S6-E16
Continuity mistake: When Charlotte introduces herself to the dog owner, the dog's head looks at a different place in every single shot.
Out of the frying pan - S6-E16
Continuity mistake: When all four girls are having Manhattans, and Miranda recalls an awful apartment she had, Sam's arms are under the table or on top, depending on the shot. Also, her purse appears and disappears randomly.
Answer: I'm a long-time fan of the show, having re-watched it many times, and I definitely remember slightly different dialogue at the end of that episode than what's on my DVD. I'm afraid I have no idea why this change might have been made or any other info, but you're not insane.
Purple_Girl