I must confess that both bnb and ethereum are great projects with a hardworking team and good potentials. When it comes to trust, I'll go with ethereum owing to the fact that the project has withstood the test of time and growth has been encouraging.
This coin has been with Bitcoin for the past few years, and any exchange has listed it, so compared to BNB, Ethereum will definitely be a lot better. In my opinion if the Binance exchange collapses then BNB will disappear as well so if I choose, I will tend to invest more in ETH. However, if you like both, it is good because both are good coins for you during this time.