That CTC increase is not for 2020; it is for 2021. Your 2020 return does not have to be amended for it. More information will be available soon; the details of how it will be implemented have not yet been clarified fully. There may be monthly payments going out beginning in July 2021, with some of the CTC still left as a refundable credit on your 2021 tax return next year.
The IRS began to send out the additional refund checks for tax withheld from unemployment in May. The refunds are being sent out in batches—starting with the simplest returns first. If you are eligible for the extra refund for federal tax that was withheld from your unemployment the IRS will be sending you an additional refund sometime during the next several months. TurboTax cannot track or predict when it will be sent. The IRS has not provided a way for you to track it, so all you can do is wait for the refund to arrive.
Please read this very recent news from the IRS: