Staking with cold wallet

Hi, guys.

I am pretty new to staking so I would need some advice with my trezor wallet.

I have earned quite some cash with poker and payed out with different coins. Mainly btc, ether and usdt and usdc,therefore I also bought a trezor wallet as it is saver obviously.

I have seen many options to get some additional funds with staking on platforms like exodus or kraken, but therefore you need to have the assets on their platform.

First question : is staking worth the risk of having your assets moved of your cold wallet?

Second question :is there a way to have your assets on the trezor and still stake it? And which platform would you prefer to stake on?