The recommended way to install and update a Drupal 10 site is using Composer.
To update core, all outdated modules and theme, update the db, and clear the cache:
composer update "drupal/" --with-all-dependencies drush updatedb drush cache:rebuild
To list updates, use Composer's built-in command:
composer outdated "drupal/*"
To list security updates, use Drush:
To update a specific module or theme, use the following Composer command:
composer update drupal/modulename --with-all-dependencies
For a major-version upgrade (such as 1.x to 2.x), use the following Composer command, substituting the new major version number as needed:
composer require drupal/modulename:^2.0
After updating, run any database updates, rebuild the cache, and export the potentially changed configurations, reviewing the changes via
drush updatedb drush cache:rebuild drush config:export --diff