If you're just beginning you can use a simple online wallet like blockchain.info. However, that's currently only for bitcoin which is difficult to use right now due to higher network fees. To experiment you might want to start with a simple wallet like Electrum (for Bitcoin) or Electrum-LTC (for Litecoin) which don't download the whole blockchain and allow you to become familiar with making transactions. As you buy bigger amounts consider buying a hardware wallet like Ledger (https://www.ledgerwallet.com/) to keep funds safe and in your own control. Try not to leave a lot of funds in online wallets you don't control.