You can do these kinds of transactions using the Polygon Wallet Suite:

1. Withdraw funds directly from the Polygon Mainnet to the Ethereum Mainnet using the Polygon Bridge.

2. Deposit funds directly from the Ethereum Mainnet to the Polygon Mainnet using the Polygon Bridge.

3. Transfer funds from one wallet to another wallet only on the Polygon Mainnet. (Not to any exchange)

4. Swap any token with any other token using the Token Swap feature

5. Stake your MATIC tokens on any validator from the Staking Tab. (You need MATIC tokens on the Ethereum Mainnet)

(For more Staking information you can refer to the Staking FAQs)