It looks here like C is the primary language. Cool. So I need to get to grips with C  Anyone got any good websites for new programmers etc?

There are tons of websites and books covering C, so I would just start with one.

For recommendations you may search on amazons top list with focus on C programming language where you will get many reviews and ratings on available books.

For a reference book on C++ I use often this one (you may also take a look at Programming: Principles and Practice Using C++).

Although I haven't read one of the " ... for dummies"-books I heard that they could be recommended to beginners.

I would start with a book rather than just relying on online resources at the beginning as you have something you can work through from beginning to end.