sending suitcases

You may find some results from a search of the entire travel forum. Or from TripAdvisor. I know there are questions about it, but not sure of the answers.
Do look at the rules and regs of SendMyBag. Some are slack on the delivery time frame and you may be stuck waiting around 'foreverrrr'. But if it is a house address with someone typically home, then it may not be as stressful as some reviews of these services.

I know friends who used them and they were pleased with it.
We ship our luggage domestically coast to coast using FedEx Ground and will be doing it soon. Our MD does not want us putting our bags on airplanes or us being near baggage carousels, all due to coronavirus.
Please let us know about your experience with this shipping service.

There have been 2 threads previously on the Rick Steves' Forums about that company.

https://community.ricksteves.com/travel-forum/packing/luggage-shipping-services from August in 2017, and

https://community.ricksteves.com/travel-forum/packing/we-did-not-pack-light-and-now-must-pay from July 2019.

Both give it a mention.

Expect to pay quite a lot, and expect your luggage to perhaps cause the recipient to be in a difficult place with Covid restrictions depending on where you are sending them.

Shipping bags internationally is very, very expensive. In addition to Sendmybag, here are several services which can ship luggage for you. You can compare transfer costs to evaluate shipping solutions.

https://europa-road.eu/en/

http://www.japtransports.com/

http://www.luggageforward.com/

I cannot offer personal experience in reference to any of these companies.

My usual advice in these situations is to check out the local postal service first, because it is likely to be less expensive than commercial entities (though still painfully costly).

This non-government webpage shows rates that may be helpful to you, if only for comparison purposes. The standard (non-express) shipment method is "Colissimo"; refer to the last column (Zone C) in the final table. Below that table is a section called "Private Delivery Services" which might be helpful.

I don't read French, but it appears from this La Poste webpage that Colissimo service is not currently available to the US; I determined that by trying to look up the cost to "Etats-Unis". That leaves the more expensive Chronopost.

This website allows look-up of Chronopost rates. Here you'll have to use "United States" as the destination.

I'm nearly certain you'll need to fill out a customs form for each bag. Be sure to be precise about the contents. Any used items (such as clothing and shoes) should be so indicated. If your bags have to go through customs clearance, there will be an extra charge.

I've used SendMyBag. It was excellent. They picked up the bag from my hotel in London. (The courier was from DHL) and it arrived two days later in the U.S. (Also by DHL). Much cheaper than going directly to DHL or FEDEX or UPS or the Postal Service. Great for a normal suitcase or bag.

I would not hesitate to use them again.

However, for that amount, you might want to compare freight shipments from numerous carriers. It is slower but may be cheaper. According to the SendMyBags website they would charge you about $364 to send it to the west coast from Paris.

I checked Fedex rates--it would take about a week--for three cases weighing a total of 54 kilos. It came to about 900 Euros.

If you are also going, you could see what the airlines would charge for excess baggage.

This question came up yesterday on the FB group "Americans Retiring in France."
Those who had used the service were pleased with it. One woman said she had paid $165, but she didn't give her US locality. One other said her luggage got to the West Coast before she did. A third woman said she had used Luggage Forward several times between the US and France.

I was coming back to make the suggestion Frank did--if someone is flying to the US from France, it might be cheaper to pay the airline's excess-baggage fee--at least for one of the bags, if those fees escalate.

The covid risk is not in touching luggage it is in breathing the air in the plane where at least significant numbers will refuse to wear masks (and of course masks are off during meals). This is an airborne contagion -- paying hundreds to ship luggage instead of just checking it doesn't buy you safety if you are willing to risk your health flying in the first place.

Covid risk at crowded baggage carousels too.

Per a previous thread: I’m assuming these are suitcases that you left In Paris when you signed a lease in Paris and intended to return on your one-year. visa. Blasted COVID. I hope you can make it happen one day.

OP asks about shipping luggage and the Covid police show up to scold him about traveling.

Hmm, not seeing any scolding about traveling at all.

French post to the States is horrifically expensive even for the smallest package. Since they revised the rates in 2016, I have basically stopped sending anything more than a card or letter. No way I would try French post for something like this.

No experience with sendmybag, but is what you are shipping worth more than $500?

Last year I recommended Eelway to Mike, the OP of the second thread Nigel mentions. Mike subsequently sent me a private message that he had used them and was pleased. May be worth checking:
https://www.eelway.com/en/luggage-shipping

We used SendMyBag from Barcelona to Massachusetts last Summer and were very happy with them. It was a 22 inch fairly heavy bag and cost $129 to send home. It was there within a few days. We also needed to change the pickup date/time last minute and they were very helpful and accommodating. Would use them again.

so, its been about a week and a half - what did you decide to do, adodd?