Not sure what your financial situation is, but PIs can be expensive, especially if you're not there to give them a detailed idea of your wife's daily schedule, and they have to look for a pig-in-a-poke. Your money might be better spent on, in order:

1. A bulldog "men's rights" atty;

2. Air-fair home for a stay, where you:

a. Install a keylogger on her computer
b. Put a voice-activated recorder (about $50) in her car during your stay, and/or a GPS-enabled, pay-as-you-go phone ($40-$50 for the phone; about $5 - $7 for the GPS app)
c. Take an in-person meeting with your attorney
d. spend some quality time with your kids
e. Make note of your wife's daily schedule, in case you need it later for a PI.

Just some thoughts.

Puppy