Yes, that's a good idea. I also prefer to keep it in a multi-cryptocurrency wallet. It's easier to check. And does not require much application space on a smartphone. For me, a multi-cryptocurrency wallet is also safe, as long as we store phrases and passwords in a safe place.
I agree, when we hold lots of coins, multiple wallet or mobile wallet is a good choice. Many good and trusted mobile wallets like Trust wallet or Imtoken. We can easily check price movements or make transactions through DEX with a mobile wallet.