AJ77

@pam: As far as I know, they aren't doing away with it, but they are reforming it. What I know is they aren't emphasizing the need to sit down in someone's living room with them while you read a message from the ensign anymore. You are just supposed to befriend your assigned ladies and be helpful to them and minister to them and their unique needs. The way I interpret it is, you're supposed to make contact with them at least once a month in some way and foster a relationship with them. With my situation, I kept making suggestions with my partner to visit our sisters in ways that didn't require us to go to their house, but she didn't feel like we were doing our job if we didn't. I think the new changes take time to take effect.
 

I currently minister  to three inactives as I don't have time to go every month,  I write to them, send them easter eggs etc.. works well for my circumstances.  I have no doubt it will change when I graduate lol

If she says that then this is what I would say:
"It is necessary so we can concentrate on ministering to our sisters so let's find somebody."

Solution: VT at a local park.  Let the kids run around on the playground, while the grown ups sit on the bench and VT.  

You might have to come right out and tell her that some of the sisters you visit would prefer that her kids don't come.  Unfortunately sometimes the bluntness is what someone needs.  I realize it's hard sometimes when you have kids, but not everyone wants to accommodate the kids either especially when their kids are grown and gone and their home is no longer "kid proof."  Or perhaps speak with the Relief Society Presidency and tell them that there is that problem.  Maybe they can assign her some other responsibilities aside from visiting teaching.

Interestingly, when men go home teaching they have no problem leaving the children at home with mom, so, um....

If this was me this is what I would do:
"Hi Sister X, I'd like to schedule our visiting teaching visits on a specific day of every month - I suggest the first Tuesday of every month for Sister Y and Z and the 3rd Tuesday of every month for Sister A.  Let me know if this works out for you.  I'll help you find a great baby sitter for your younglings if your husband will not be home on those days."