The wallets are very similar, so I will simply describe both and you can choose what you prefer:

Ledger Nano S is produced by a French company. It uses Secure Element chips, which check the software on the device each time it is started. However, not everyone is satisfied with such a solution, because its source code is not entirely open. You can access your wallet using Electrum software or Ledger's Chrome application. Soon it will be replaced by a new stationary and mobile client, which will have more functions. At present, the Chrome app lacks certain usabilities, such as using custom backend operations or signing transactions without issuing them. To send specific coins, you need to have the application installed on your device, using the Ledger Manager. By the presence of the Secure Element chip, the space available in this model is quite small. However, you can uninstall the applications at any time and the coins that we have had on your wallet will not disappear. Later you will have to reinstall the application, which takes some time.

TREZOR is a Czech manufacturer of hardware wallets, which is considered to be one of the most trusted. The TREZOR software has fully open source code, so anyone can contribute to improve it and add new coins. TREZOR is constantly improving its web wallet - there are many more features that are not supported by other hardware wallets. The device has no pre-installed software. For security reasons, it is downloaded from TREZOR's servers on the first run. Some users complain that it is difficult to enter a PIN and that the keyword restore is done by a computer.

Trezor and Ledger - what's the difference?