Store any transaction in log table SQL Server

Question

I have lots of tables in my SQL Server database. When any action happens, like an Insert, Update, Delete, I want to store the data in a Log table as shown here:

Product table:

| ID  | Name    | Other |
| --- | ------- | ---   |
| 1   | Book    | ...   |
| 2   | Bicycle | ...   |

If any Insert, Update or Delete happens, I want to have something like this:

Log table:

| ID  | RowId   | TableName  | Action |
| --- | ------- | ---------- | ------ |
| 1   | 1       | Product    | Insert |
| 2   | 2       | Product    | Insert |
| 3   | 15      | Category   | Update |
| 4   | 60      | Customer   | Insert |

I'm using Microsoft SQL Server 2008 R2 (SP2) - 10.50.4000.0 (X64) Express edition with Advanced Services - some features might not be available for me (reference to documentation).

For a single table a trigger is a good idea and it works fine, but what about all tables? As the example shows, Category and Customer tables are other tables in my database.