Wifi Sync lists two different computers for different items

So, we bought a new computer and I wanted to switch my phone over from the laptop to the new computer.  Accordingly, I plugged it in and told it to sync to the new library.  Which it did.  Sort of.

For some reason, it refuses to sync the apps with the new computer and I'm not sure why.  In fact, when I look at the wifi sync screen on the phone it actually shows BOTH computers.  The new computer is listed for "music and tones" and the second is listed for "apps".

I've turned off wifi syncing on the laptop, but I don't know what else to do.

Does anyone have any suggestions?

Thanks,

Peter