chickHEN can be run on any psp. the only requirement is that you have offical firmware (ofw) 5.03 installed on your psp. that will be the first thing that you have to do.
once you download ofw 5.03 and have that installed on your psp, you can install chickHEN. chickHEN allows you to run homebrew applications, which include emulators for all the old console games that you wish to play, except ps1 games.
if you want to play ps1 games as well, you will have to continue and install the custom firmware enabler as you mentioned. the guide you selected is a great guide. it contains all the links you need.
the only suggestion i would make is that once you have chickHEN installed and running you run another program called pspident. it will tell you exactly which motherboard you have. if it turns out your have a mobo other than the TA-088v3 then you have more options.
you can find pspident here:
PSPident 0.4 - Find out what PSP Motherboard you have., PSP Hacks - PSP Slim Hacks
that is enough to get you started. if you need any more help, just let us know.
~EDIT~
according to Draik's article about hackable psps, the psp that you have has a TA-088v2 mobo. that means that it is fully hackable and you can install a full, permanent custom firmware (cfw). you should still install ofw 5.03, then install chickHEN, then run pspident to make sure. after that you can decide which cfw would be best for you.