There are a wide variety of wallets you can have for your crypto related needs. As everything in crypto be careful what you download. Only download from reputable sites that have been peer reviewed by other users. There are core and light wallets, for the normal user a light wallet is just fine. If you have a lot of small transactions coming into your wallet, then use a core wallet. The core wallet is found here for bitcoin.
Bitcoin Wallets: A non-exhaustive list of quality wallets that we recommend. Visit the above link for the core wallet to find a wide selection of trusted setups.
Ethereum: see here.
There are also physical wallets to safely store your bitcoin. An example of this is the Trezor.