If you are buying BTC and ETH to hold over the next few months or even years and are deterred from withdrawing your coins from an exchange due to the recent increase in fees, then you should consider making use of BEP2 tokens. These are the equivalent of Ethereum's ERC20 tokens, just that they are built on top of the Binance chain. Binance have an entire portfolio of altcoins that they have put on their own chain. In other words the token is pegged to the price of the actual coin.

So, if you bought BTC on Binance, you would have the option of withdrawing it on the BTC network or withdrawing it to a BTC BEP2 wallet. The value of your BTC would still be the same and maintained, as the token is pegged to the BTC price. When the time comes for you to sell in order to realize profits, you simply deposit your BTC back into your Binance account and it reflects in your BTC account.