France recognizes NH driving licenses (along with 17 other states), and will transfer them

https://us.diplomatie.gouv.fr/en

https://corporateimmigrationpartners.com/france-us-drivers-license-recognized-from-18-states/

The full list of states is:

• Arkansas
• Colorado
• Connecticut
• Delaware
• Florida
• Illinois
• Iowa
• Massachusetts
• Maryland
• Michigan
• New Hampshire
• Ohio
• Oklahoma
• Pennsylvania
• South Carolina
• Texas
• Virginia
• Wisconsin

Eligible US citizens must file an online exchange within the first 12 months of their arrival in France.

Need to get a French driving license https://ants.gouv.fr/

You have 12 months to start the process but don't leave it as it will likely take 6 months or more. Save yourself some headache and after you settle go to France Service and they will hand hold you through the upload process at no charge

Look at international license

For insurance get a statement from our insurance company showing clean history