In order to sweep your Private Key into your Edge wallet, follow the steps below:
1) Tap the 3 horizontal lines to open the side menu
2) Tap on Scan QR from the side menu
3) Select the wallet you want to sweep the fund from.
3) Scan the Private Key QR Code or enter it manually
4) A popup will be displayed asking if you wish to Import the funds, tap on Import. This will generate an on-chain transaction and you will pay the mining fees for that
5) After successfully importing the funds, you will see the funds in your wallet by going back into the Wallets List screen or back into the specific Wallet Transaction History screen
Note: If you are also migrating tokens, be sure that these tokens are recognized in your Edge app. If you have tokens that are not listed in Edge, add them as a custom token first.