Cold storage are bitcoin wallets that has their seed phrase and/or keys store offline and has never gone online before such as a paper wallet that is generated on an airgapped computer with its WiFi card, Bluetooth and other modules used to connect to external environment removed.
Hot or online wallets are online wallets, they are not secure like cold or offline wallets. Web, mobile and desktop wallets are hot wallets.
To follow up with the statement of Charles-Tim you can get your cold wallets or hardware wallets with this trusted website it depends on you if you want to buy immediately to make sure funds safe.
[2] https://www.ledger.com/
If you don't have a budget yet you can use a hot wallet which most of the members here use with the electrum, you can download here in their official website https://electrum.org/#download they have their mobile application too if you don't have a desktop or laptop yet. Another tip don't store your funds in an exchange and use as a wallet. Good luck to your journey.