To store LTC, you will need a wallet. This can be a hardware wallet or a software one. The official Litecoin wallet, Litecoin Core, can be installed on any Windows, Mac or Linux machine. It’s been designed with Litecoin in mind, but it does come with a steep learning curve. There are alternatives which work on mobile phones, or in your web browser. You might also put your coins into ‘cold storage’ by printing both private and public keys on to a piece of paper. Of course, you’ll then also have to keep that piece of paper secure against theft, too.