When transferring AVAX from Binance there are three options.
BSC (BNB Smart Chain)
When sending AVAX to a wallet such as Metamask or Avalanche Wallet, the C-chain must be used as the MetaMask and Avalanche wallet are on the C-chain. The only place where one can cross-chain transfer between X and C-chain is in the official Avalanche wallet.
The same rule applies if you are using the X-chain, it must be sent to ONLY another X-chain address.
Moving Stable coins
When moving Stable coins from Binance, one must be careful as Binance native stable coins can NOT be directly transferred to the Avalanche network. In many cases, a user must bridge the stable coin or swap for a token that can be sent to the Avalanche network.
Example: USDT (BEP20) cannot be sent to Avalanche directly. Even though on Avalanche, the token has the same name (USDT), it is not the same as Avalanche native USDT.