Hi dear BGL community!

If you intend to hold and own your BGL, then store your coins in BGL mainnet on cold wallet. This is most secure and reliable way. Bridge, pancakeswap are to provide means of exchange, the main function of wrapped tokens is to provide exchange and liquidity without CEXes.
The BSC blockchain is not fully decentralized (although it has many good points). Remember BTC's old saying, not your keys - not your coins, it stays true.