where is recommended to keep coins safe and get some incomes/profits from them?
You are probably talking about staking or using DeFi lending and borrowing platforms. You should know that such platforms are prone to different accidents. Hacking, bugs & vulnerabilities, exit scams/rug pulls, etc. Whatever the case, it's the end user (like yourself) that ends up losing money. A much better option is to purchase Bitcoin whenever you can and keep it in a good non-custodial and open-source wallet. If you don't make mistakes with the handling and securing of your keys, a 3rd party can't become the reason why you lost access to your coins.
Exchange servers or on cold/warm wallets?
Never on exchanges. Always in wallets whose keys you control and only you.
if wallets which one is trustworthy Atomic wallet, Exodus or..?
Neither of them. Atomic Wallet has a bad history of selective scamming. Exodus doesn't from what I am aware of, but hosseinimr93 already explained its shortcomings.
and which Exchange server is your preferred? Kucoin or Binance?
If you don't want to use decentralized exchanges like Bisq and you insist on a centralized one, take a look at FTX. It's got low and even free withdrawals.