Rookie Mistake - CDG Flight Transfer

First, it's worth asking when you get to LAX on your departure date if AF/KLM (which are the same company) will "check through" your bags to Amsterdam, i.e. issue you bag tags with "AMS" on them and transfer them in Paris for you.

Assuming they will not do that, i.e. your bags are checked only to CDG and you have to check them in again in Paris, this is the process you will have to follow. I am assuming your onward flight on KLM is to Amsterdam, because as far as I know the only place KLM flies to from CDG is Amsterdam.

1. Land in CDG.
2. Proceed to Schengen passport control -- note that because you need to get checked bags, you need to not follow the "Correspondances/Flight Connections" signs once you land in Paris and instead need to follow the "Bagages - Sortie / Baggage - Exit" signs. If you follow the "Flight Connections" signs you will go through the necessary checks but won't get to baggage claim, which will be a problem for you.
3. Pick up your bags at the baggage carousel and exit through customs.
4. Proceed to terminal 2F.
5. Re-check your bags at the KLM check-in desk and get the CDG-AMS boarding passes, if necessary.
6. Clear security and enter the airside area.

If your bags are checked through to Amsterdam (i.e. they have AMS on the bag tags) then once you land in Paris, you can follow the "Correspondances / Flight Connections" sign. You will still go through passport control and security check (passport control because you're entering the Schengen area in Paris, security because CDG requires non-Schengen arrivals to go through security re-screening before connecting flights) but you don't need to transfer your bags yourself.

You have to head to baggage claim after Passport control retrieve the bag go outside the secure zone and recheck it
There is no connection check point. Like the previous poster suggested when you checkin at LAX you should ask the agent if they can combine your PNR and check the bag to your final destination. Air France and KLM are owned by the same group

Thanks for the responses. I was planning on asking at LAX and Amsterdam is our final destination. Fortunately I will also be able to check in for the CDG - AMS flight even before arriving at LAX since I will be within the 24 hour check in process, so hopefully that will help me when asking the AF staff at the LAX Check In.

Just call up Delta and ask them if they will interline the bags - I would think they would since KLM is a partner of theirs. This way you know ahead of time whether you will need to exit, collect your bags, and recheck them. In the past I have had no problems doing this with United and the star alliance partners though I do know that American has stopped this.

If Delta does interline the bags, do a double check when you get to CDG. Show your bag tickets to the folks at the counter and they should be able to confirm if the bags got transferred. As as a precautionary measure, carry at least 1 set of clothes in your carry on.

Edit - just found this with a quick search - I would still call DL and check.
https://pro.delta.com/content/agency/us/en/products-and-services/baggage/delta-s-through-check-baggage-policy-.html

Arnold, thanks for the link. Good news, Delta says when checking in at Air France at LAX provide them with my connection information and they can label the bags through to AMS.

That is great news. Arrive a bit early so you have time to resolve any issues with the check in all the way to Amsterdam. I have a had a situation in which I had the answer that you have and the frontline person refused and we had to make phone calls. I have also had a United gate agent notice that I had an unprotected connection on United and check my bag all the way to the final destination with no questions from me.