Staking services: rewards immediate or locked up?

I'm not ready to do my own staking (though have considered Dappnode, etc.). For the time being instead of just hodling, I'm considering staking with a service.

I fully understand that my 32 ETH will be locked up long term (12+ months; possibly much longer). What I'm wondering is whether the rewards are paid only in ETH 2.0, and similarly un-spendable? Or are staking rewards immediately tradeable like 'normal' Eth (1.0)?

Bonus points if anyone knows if the staking services make these rewards available on a weekly/monthly basis or whether they hold them captive for some duration. (Staking services I'm looking at so far are Stkr, Stakewise. Blox, Rocket Pool, Bitcoin Suisse -- if you can comment on any of those, thanks so much!)