Thank you all! I will most likely be using BC then. Sounds pretty safe and anonymous.
I will look into those other websites for another wallet.
Here is a full list of wallets out there :
https://bitcoin.org/en/choose-your-wallet For Desktop wallets I'd suggest : Bitcoin Core , Electrum , Multibit HD
for Android : Mycelium
for iOS : I'am not sure because I'am speaking for an experience and I never tested wallets on iOS device .
Stay away from Web wallets because they are the less safe . the safer are Paper wallet (free) and Hardware wallet which will cost your money . Paper wallet are mostly for receiving and not for sending because it will be a simple paper printed where there is Public adress + private key .
Just to add to your list. For iOS, I recommend Copay. I have it installed on my wife's iPhone and never got any issues of it. Very user friendly if you'd ask me. Also it looks like that android wallet that I use. The android wallet's name is just bitcoin wallet.