Swapping BUSD from BEP2 (Binance Chain) to BEP20 (Smart Chain) using Binance Chain Extension Wallet
Binance Chain Extension Wallet is the official browser extension wallet from Binance and it offers a convenient way to swap assets from BEP2 to BEP20 between your accounts.
Once you have BUSD as BEP2 in your Binance Chain Extension Wallet, you can swap it to Smart Chain (aka Binance Smart Chain) within the wallet. Make sure that you also have some BNB in your Binance Chain Network account in Binance Extension Wallet in order to cover the network fees. You will need no more than 0.005 BNB for the network fees.
Login to Binance Chain Extension Wallet. Make sure the network selector at the top says "Binance Chain Network" and that you have some BUSD and at least 0.005 BNB in your wallet, like in this screenshot:
On the next screen, click on Asset drop down and select BUSD
Next, click in the Address field, select Transfer Between My Accounts and select your account on Binance Smart Chain Network
Next, enter the amount or click Max, and click Send.
On the next screen, you will be asked to confirm the transaction. You will also see the amount of network fees for the transaction. Make sure that "From" field says "Binance Chain Network" and "To" field says "Binance Smart Chain Network"
Click "Send" and wait about 2-3 minutes for the transaction to be confirmed by the network. Once the transaction is confirmed, you can see your BUSD balance on Binance Smart Chain. To see your BUSD in your Binance Smart Chain account, click the network drop down at the top of the wallet screen and select Binance Smart Chain.
After you switch the network, you will see your balances on Binance Smart Chain Network: