Hello and welcome!
I'm so sorry to hear of the loss of your keys.
The first thing I would do is change the locks on your house and have your car's lock/key changed, as well.
You can file a claim for something stolen/missing from a checked bag, through both the TSA and the airline/airport and also check their lost and found. You didn't mention the airport you flew out of in Las Vegas, so you can fill in that information. Click HERE for more information about lost and found. Also, click HERE for information on getting your claim submitted, including a contact phone number.
You can also get help from the TSA Contact Center by calling: ***-***-****
Weekdays:8 a.m. to 11 p.m. ET
Weekends/Holidays:9 a.m. to 8 p.m. ET
I hope this helps and you are able to find your keys!
Please be so kind as to rate my answer positively, as that is the only way I receive credit for my assistance. Thank you very much!Rating will not cut off our communication and you can click 'Reply' at any time, to ask for clarification or additional information.Warmest regards,Cher