Open source and closed source wallets have many differences including the issue of possible access to the seed transaction or keys held by the owner of the coins and tokens.
I always avoid using closed source wallets like Trust wallet and always pay attention to open source wallets for storing assets.
To store coins of more than one type, I use an unstoppable wallet.
Close source wallets is indeed have differences with open source wallets as open source wallets code is open for public where the close one isn't and that means close source wallet provider may have access to your wallet unlike the open source. You should also mention about hardware wallets to OP if OP doesn't mind spending money to buy hardware wallets. Well, there's nothing wrong with using free wallets and open source wallet since it doesn't cost anything at all.