diff --git a/README.md b/README.md
index 81b9202..6e65def 100644
--- a/README.md
+++ b/README.md
@@ -41,18 +41,26 @@ the internal `protected` portion of the API; typically, a major `0.x+1` release
 
 ### Contributions
 
-Current target is php 5.5 and later, see `.travis.yml`.
+Current target is php 8.1 or later.
 
 Code adheres to [PSR-2](http://www.php-fig.org/psr/psr-2/) and [PSR-4](http://www.php-fig.org/psr/psr-4/).
 
-To run the test-suite:
+You need a working [Docker](https://docs.docker.com/get-docker/) installation to run the tests.
 
-    php test/test.php
+To launch Docker and run the test-suite, e.g. in PHP `8.3`:
 
-To run only the unit or integration suites:
+    ./test.sh 8.3
 
-    php test/test.php --unit
-    php test/test.php --integration
+Once the Docker environment is running, you can run the tests more quickly on the existing Docker environment:
+
+    ./test.sh
+
+Once running, if you prefer, you can also just shell into the PHP container and run the tests from there, for example:
+
+    docker compose exec php sh
+    composer update
+    composer test
+    exit
 
 ## Overview