The easiest way to find system specification information is to use the DirectX Diagnostic Tool. Click Start, then Run, then type dxdiag in the window and press OK. The DirectX Diagnostic tool will open. You may be asked if you want to allow checking for digital signatures, which is safe to allow. The tool contains various tabs for information, such as System, Display,and DirectX.
If there's not enough space for both computers, I suggest that you enter the computer that you expect to use most for testing, and mention that you also have a laptop. I expect you'll be able to give more details if accepted for beta testing.
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To err is human; to arr is pirate.