service/ci: fix broken links

service/ci.md

@@ -26,7 +26,7 @@ documents frequent questions we might get about the work.
 The [GitLab CI quickstart][] should get you started here. Note that
 there are some "shared runners" you can already use, and which should
 be available to all projects. So your main task here is basically to
-[write a `.gitlab-ci.yml` file](https://docs.gitlab.com/ee/ci/quick_start/README.html#create-a-gitlab-ciyml-file).
+[write a `.gitlab-ci.yml` file](https://docs.gitlab.com/ee/ci/quick_start/#create-a-gitlab-ciyml-file).
 
 # How-to
 
@@ -631,7 +631,7 @@ should be rebuilt from scratch, as per [disaster recover](#disaster-recovery).
 
 [GitLab CI upstream]: https://docs.gitlab.com/ee/ci/
 [GitLab CI splash]: https://about.gitlab.com/stages-devops-lifecycle/continuous-integration/
-[GitLab CI quickstart]: https://docs.gitlab.com/ee/ci/quick_start/README.html
+[GitLab CI quickstart]: https://docs.gitlab.com/ee/ci/quick_start/
 
 # Discussion