Binance has a more decentralized product than its own exchange, Trustwallet - supports multiple chains. Or use a web wallet like Guarda and a browser extension wallet like Metamask(only supports chains with hexadecimal addresses - prefix "0x").
As long as you take good care of the seed phrases or privatekey, as long as the tokens you keep are safe.
guarda looks like it supports both usdt and busd. Should I trust guarda for long term savings?
And does trustwallet also supports busd and tether such as guarda?
Are these wallets saves the private keys in an offline environment (in mobile/desktop) to prevent against hacking attempts online?