Keep ETH in the wallet OR buy BETH on Binance?

After the merge, I expect the blockchain to fork into PoW & PoS. I'm trying to understand which strategy is going to be more profitable.

If I keep ETH in the wallet, I'll have 2 different tokens. I can sell the old tokens and stake the new one.

If I buy BETH on Binance now, I will only have a token for the PoS chain. But if I keep it, will the rewards be better than owning 2 tokens in the future?

What do you think?