Verify Code when signing in via web browser

Even my Bank and Brokerage will ask the question “Should we trust this device” to eliminate having to deal with the verification code, every time. I would think their security would be adequate. It is enough for me to look for a different product/way. I think otherwise, I will not be so anxious to check my notifications, as I sit at my computer most of the day and I have to monitor three homes…