diff --git a/core/testcontainers/compose/__init__.py b/core/testcontainers/compose/__init__.py
index 8eb8e100d..dd1aff658 100644
--- a/core/testcontainers/compose/__init__.py
+++ b/core/testcontainers/compose/__init__.py
@@ -1,4 +1,3 @@
-# flake8: noqa: F401
 from testcontainers.compose.compose import (
     ComposeContainer,
     DockerCompose,
diff --git a/modules/generic/example_basic.py b/modules/generic/example_basic.py
index 107bcc7c2..f5a7a43aa 100644
--- a/modules/generic/example_basic.py
+++ b/modules/generic/example_basic.py
@@ -59,7 +59,7 @@ def basic_example():
         print(f"\nPython container ID: {container_id}")
 
         # Execute command in container
-        exit_code, output = python.exec_run("python -c 'print(\"Hello from container!\")'")
+        _exit_code, output = python.exec(["python", "-c", 'print("Hello from container!")'])
         print(f"Command output: {output.decode()}")
 
     # Example 5: Container with health check
diff --git a/modules/postgres/example_basic.py b/modules/postgres/example_basic.py
index 611081023..0005bbd4f 100644
--- a/modules/postgres/example_basic.py
+++ b/modules/postgres/example_basic.py
@@ -1,11 +1,11 @@
-import pandas as pd
+import pandas as pd  # type: ignore[import-untyped]
 import sqlalchemy
 from sqlalchemy import text
 
 from testcontainers.postgres import PostgresContainer
 
 
-def basic_example():
+def basic_example() -> None:
     with PostgresContainer() as postgres:
         # Get connection URL
         connection_url = postgres.get_connection_url()
diff --git a/modules/postgres/testcontainers/postgres/__init__.py b/modules/postgres/testcontainers/postgres/__init__.py
index bde21d5b3..23dfa1d69 100644
--- a/modules/postgres/testcontainers/postgres/__init__.py
+++ b/modules/postgres/testcontainers/postgres/__init__.py
@@ -11,7 +11,7 @@
 #    License for the specific language governing permissions and limitations
 #    under the License.
 import os
-from typing import Optional
+from typing import Any, Optional, Union, cast
 
 from testcontainers.core.generic import DbContainer
 from testcontainers.core.utils import raise_for_deprecated_parameter
@@ -53,13 +53,14 @@ def __init__(
         password: Optional[str] = None,
         dbname: Optional[str] = None,
         driver: Optional[str] = "psycopg2",
-        **kwargs,
+        **kwargs: Any,
     ) -> None:
         raise_for_deprecated_parameter(kwargs, "user", "username")
         super().__init__(image=image, **kwargs)
-        self.username: str = username or os.environ.get("POSTGRES_USER", "test")
-        self.password: str = password or os.environ.get("POSTGRES_PASSWORD", "test")
-        self.dbname: str = dbname or os.environ.get("POSTGRES_DB", "test")
+        # Ensure concrete str types while preserving "falsy" fallback semantics
+        self.username: str = cast("str", username or os.environ.get("POSTGRES_USER", "test"))
+        self.password: str = cast("str", password or os.environ.get("POSTGRES_PASSWORD", "test"))
+        self.dbname: str = cast("str", dbname or os.environ.get("POSTGRES_DB", "test"))
         self.port = port
         self.driver = f"+{driver}" if driver else ""
 
@@ -70,7 +71,7 @@ def _configure(self) -> None:
         self.with_env("POSTGRES_PASSWORD", self.password)
         self.with_env("POSTGRES_DB", self.dbname)
 
-    def get_connection_url(self, host: Optional[str] = None, driver: Optional[str] = _UNSET) -> str:
+    def get_connection_url(self, host: Optional[str] = None, driver: Union[str, None, object] = _UNSET) -> str:
         """Get a DB connection URL to connect to the PG DB.
 
         If a driver is set in the constructor (defaults to psycopg2!), the URL will contain the
diff --git a/modules/postgres/tests/test_postgres.py b/modules/postgres/tests/test_postgres.py
index 93b99d25f..a6dff162a 100644
--- a/modules/postgres/tests/test_postgres.py
+++ b/modules/postgres/tests/test_postgres.py
@@ -1,4 +1,5 @@
 from pathlib import Path
+from typing import TypedDict
 
 import pytest
 import sqlalchemy
@@ -70,7 +71,13 @@ def test_quoted_password():
     password = "p@$%25+0&%rd :/!=?"
     quoted_password = "p%40%24%2525+0%26%25rd %3A%2F%21%3D%3F"
     driver = "psycopg2"
-    kwargs = {
+
+    class ConnKwargs(TypedDict, total=False):
+        driver: str
+        username: str
+        password: str
+
+    kwargs: ConnKwargs = {
         "driver": driver,
         "username": user,
         "password": password,
@@ -106,15 +113,20 @@ def test_show_how_to_initialize_db_via_initdb_dir():
         with engine.begin() as connection:
             connection.execute(sqlalchemy.text(insert_query))
             result = connection.execute(sqlalchemy.text(select_query))
-            result = result.fetchall()
-            assert len(result) == 1
-            assert result[0] == (1, "sally", "sells seashells")
+            rows = result.fetchall()
+            assert len(rows) == 1
+            assert rows[0] == (1, "sally", "sells seashells")
 
 
 def test_none_driver_urls():
     user = "root"
     password = "pass"
-    kwargs = {
+
+    class ConnKwargs(TypedDict, total=False):
+        username: str
+        password: str
+
+    kwargs: ConnKwargs = {
         "username": user,
         "password": password,
     }
diff --git a/pyproject.toml b/pyproject.toml
index 1a0231c51..fc3770bb0 100644
--- a/pyproject.toml
+++ b/pyproject.toml
@@ -354,7 +354,7 @@ mypy_path = [
     #    "modules/openfga",
     #    "modules/opensearch",
     #    "modules/oracle",
-    #    "modules/postgres",
+       "modules/postgres",
     #    "modules/rabbitmq",
     #    "modules/redis",
     #    "modules/selenium"