Understand how to secure bitcoin in wallet

[Youghoor]

Yes of course you can transfer from exchanger to your personnal wallet but the fee will be applicble.
Make sure you know the time of transaction like recently the transction is very slow

Correction; The fees are extremely expensive, and transactions are slow.

So no, if you want to avoid transaction fees, you are not going to find anything that suits to you, because all the wallets, doesn't matter if it is a segwit one, or whatever it is , will let you send TX's with less than $2 worth of fees.

Good luck with that.

[busua]

1, first of all for your Mac or Windows system, download the appropriate version of the bitcoin wallet, you can choose Copay or other brands.
2, follow the software prompts to register and fill in your information, and save it to ensure the safety of information.
Congratulations, you now have a private bitcoin wallet. It's that easy, download, and sign up.

[AGD]

OP, you should learn about Bitcoin BEFORE you invest in it. Risk that you lose your money is high.

Edit: You can start here: https://en.bitcoin.it/wiki/Main_Page