IF you are doing this WITH the kids knowledge, depending on the provider, there are apps that can be put on the phone that will do this. I know that ATT has one so probable some of the other providers have one also. I use ATT and got an email about their new app for this purpose last week. Here is a copy and paste from the email.
"AT&T Messages makes it easier to stay connected. Now, when you're using your computer and you receive a text or voicemail message, you can text a response right from your desktop. When you're on the go, you can continue the same conversation thread using your Android phone or Android tablet. "
If you want to do this without their knowledge, I doubt that can be done because they will see the app on their phone.
Is there a wa to get my kids text messeges on my computer

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