where is recommended to keep coins safe and get some incomes/profits from them?
You can't have both safety and profit from coins if you are using some centralized services and exchanges.
If you want safety you should use cold wallets or something like hardware wallets, that should be used if you have larger amount of coins.
You can experiment with some services that earn interest on Bitcoin but you should know that you are not holding private keys for those coins, and they can always get hacked or leak your infoirmation.
if wallets which one is trustworthy Atomic wallet, Exodus or..?
Both of them are closed source and I don't recommend them for anyone who is serious with keeping their coins safe.
Best light wallet you can use for bitcoin is Electrum, and if you want to store other altcoins consider using some hardware wallets.
and which Exchange server is your preferred? Kucoin or Binance?
I am not using this exchanges now and I switched to only true decentralized exchange called Bisq and AtomicDex for atomic swaps.
Kucoin has clear advantage compared to Binance, because you can still use it even without passing kyc verification, but both exchanges can freeze your coins and account at any time.