The best ways to keep your Cryptocurrency transactions anonymous.
First off never share your private key with anyone. And always keep hard and paper backups of your keys!
When you post your public key online you can have your name or identity linked to your address. This can be tracked forever in the blockchain.
Bitcoin and most cryptocurrencies are only semi-anonymous or pseudo-anonymous. As in you can sort of hide behind a public key and not associate your identity fully with the key. But when you somehow along the line associate your name to that key or address it is then forever capable of being traced to you.
HARDWARE WALLET
Bitlox
Bitlox is a new bitcoin wallet that allows anonymity with multiple PIN codes and even an emergency PIN for deleting the data from your wallet.
HOT WALLET
Samourai Wallet
Samourai Wallet is also a private wallet if you chose the privacy features. You can mask your identity and choose to keep tranasctions private. It even supports Tor and VPN. It produces new addresses each time you receive cryptocurrencies which keeps your address different or anonymous each time.
Jaxx and Multibit wallets also have tools for privacy. multibit is good for newbies and encrypts their coin support. Jaxx is also easy to use and also semi Private. Jaxx doesn' ask for personal info or email.
Another option is Electrum and Darkwallet. Downside is Electrum hhasave expensive fees. Darkwallet is very promising, but might not be as safe as the above wallets because it's newer and even states on their site that it might not be completely safe....yet.
There's also Tor and VPN which can help hide your IP or keep you anonymous when you connect to the internet. TOR is a way to connect to the internet without having your location or IP associated with your browsing. VPN allows you to hide your IP address You can use a browser like OPERA to do this.