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What are the steps to be done in a page fault handler? I have no file system support yet, so swapping out old page frames on the disk is not a question. What should I do?

Make the faulting address valid, or if that is impossible, handle the exception sensibly (print an error message). What you do to make the address valid depends on your design.

Read the bottom section at http://osdev.berlios.de/memory2.html.

Are these updated (or debugged) new versions of these tutorials or are they same?

The same... complete with mistakes. :-[

Luckily the important bits are correct.