Do you have any smart devices, or do you know how they work? If you did you could probably answer your own questions. Suggest you go read up at TP-Link website how their smart plug works, and meanwhile here is a short description.
Forget for a moment about them working with Alexa; they don't need Alexa to work; they just also work with Alexa. Big diff. They have their own app which enables you to turn them on and off from the app. Also each plug has it's own name you give it, you see name in app and can operate it from home wireless OR cell data. And, when you walk past an Echo you can tell it to turn on/off the plug.
OK, so let's setup the first smart plug with the app, we give it a name "Fred" and that name shows up in our app. Now, plug a lamp into Fred; turn it on/off from the plug's app. Next, tie it in with Alexa through the Smart Home section of Alexa app, and have the app discover Fred. Now, you can control Fred via Alexa. (Alexa, turn off Fred.) Now, go have dinner at your favorite restaurant. You get in there and realize you did not leave Fred's lamp on so that you don't walk into a dark house when you return, so turn on Fred from your plug's phone app from restaurant; it uses your cell connection to do this. It sends the command in your home via your wi-fi. (So know that if you have a power outage at home you cannot control the smart plugs, even if you have cell access because you need both cell access and wi-fi at home on and working.)
When you get home, set up another plug named Wilma. (All plugs must have a unique name. OK, now you have Wilma set up like Fred. You can control each with Alexa.
The next day go to your second home and take Wilma with you. Plug her in, plug in a lamp and if you have the wi-fi on in house, you can control her with the app and even Alexa if you have one of these there, too. You can also control Fred at home from here, too, (like you did from restaurant).
Now set up a third plug named Pebbles, and it will work as the others do. Set up all three as you did Fred (including the Alexa discovery step) Just know you need wi-fi at any location and decent cell reception anywhere you go to controle plugs remotely. Oh, and you could set ALL of the plugs at a single location and take setup ones with you to the other location.
OK, you should be able to set other TP link smart things, and even can set up plugs named Barney and Betty on your own!