Here is something that can make me. I participated in several airdrop programs, If the manager requires me a wallet, do I have to install the provider's wallet,
Or can I provide the wallet address that is in the binance account.
You have to install the wallet that will be supporting the token you will receive from your manager. I think you shall never send exchange address to receive your reward, and it will make you lose your tokens. Try to ask your manager for a better answer because he is the only on who knows that. If he allows it, use the exchange's address. If he forbids it, use a personal wallet for your token.
For example, I took part in the airdrop program and the manager asked me for a SOL address, and I gave him the SOL address in my Binance account, whether the coins will go to the Binance address or not.
I warn you if sometimes, exchange site is also resetting the address for their users. You can imagine if your manager asked your SOL address, but you give him your exchange address. Then, the exchange site is resetting your deposit address.
It's very risky. It takes a few minutes just to create a solana address, and why are you feeling worry with the transaction fees? Solana won't charge you a few bucks for a single transaction.