It depends of what you want to ship. It can take about 6-8 weeks to ship to the US with a normal shipment service so it is not that fast. As you said that you are not in a hurry, I assume that you do not want services like UPS ;-). But you could use SERNAM (a French service link with La Poste, so you can probably ask information in a bureau de Poste or by calling 01 40 38 56 00 - M-F: 8.30-12.00 and 13.30-18.00). I do not know if they ship to the US, but I assume so.

You could also use a FREIGHT FORWARDING SERVICE- but that's more a global removal company that produces the service. These companies enclose your items within a crate, insure, ship and arrange reception by a similar service in the US. You have a list on the US Embassy website.

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