#1 followed by #5. Although, obsessively skinny would annoy me. I like a woman with curves, so I could be convinced to go with #3, minus the stray cat part.
I propose #6: Get ride of the cat. Convince your wife she is beautiful as she is and should eat a cheese burger now and then, but continue to hit the gym so she can look and feel good!
Don't worry a bit, she loves cheeseburgers. And, while thin, she's also busty, so I have something to hold. I'm ten years into convincing her that she's beautiful. It's not a bad passtime.