What proper information do I need to get consent from my son’s father to move to another state and what should be written?

That would be Louisiana's relocation statute. You can do an internet search to see the text of the law, and you can hire an attorney solely for purposes of drafting the notice to be given.

You have a duty to send him written notice of your desire to relocate with all the information outlined in the relocation section of your parenting plan. He can then do nothing, say okay or file an objection. Once his time for the objection has run, you can move. However, a reasonable person, even if he agrees or does nothing would file a modification to make the parenting plan usable with the new geographic distance.

I would be safe and get a written agreement, and then have it merged into an order of the court.

If the father agrees and signs the letter and returns it to you, keep it. If he ever goes to court to have you return the child, you will have proof he agreed. However, he does not have to agree and if he doesn't, you will have to prove to the court that it is in the child's best interest. In Idaho, just getting a better job or moving to be with a spouse is not enough.