Do you get to go home first to help wife move before reporting to first duty station?

Yes, you request leave/PTDY in route. All of your planning and scheduling will begin at some point during your training. Good luck!

Do you have any leave saved up yet? You could use that to go get your wife, or when you get to your first duty station, your unit should give you 10 Days Permissive TDY (you request this through your Chain of Command on a DA31 - Request for leave).

This is not chargeable leave, so if you don't have that much leave saved up you can go home & take care of moving/POV recovery/house hunting. If you're on active duty & reporting to your permanent assignment, your unit/base will give you your inprocessing paperwork when you arrive & they give you like 2 weeks to get everything completed (Finance, CIF, Housing, etc.) but it might only take a few days. You can probably schedule your leave and/or PTDY to go get your wife & get everything done. If you speak to your supervisor and you're back at work, they may even give you like a 4-Day pass to complete moving, unpacking, etc. Just be up front with everyone on your plans, needs, family... most Commands support families so they should work with you (especially because you're new).

Yes!