hi guys! thankyou for letting me join

EXCELLENT site you have here!
a year ago i bought a used psp1002 (fat) for my daughter. it has no cfw that i know of, also a couple of months ago i done a update to 4.05
about a month ago i decided to get one for myself and ended up getting a used psp2002 (slim).
turns out my psp has cfw 3.80 M33-5.
i know i can use homebrew on my psp, and have.
now, what i want to know is can i simply copy my firmware from my psp and put it onto my daughters psp too? if so, how?
a nice easy "how to for dummies" would be good if possible
ive had a bit of a look around on here, and as im not very computer minded i find the pandora and magic mem stick ideas a bit confusing.
the youtube vids are all just as confusing

i dont know if my batt is a pandora (i got 2 with my psp, 1 x 3.6v 2400mAh which looks like it might be a fake, and a geniune sony 3.6v 1200 mAh which has been opened up and sticky taped back together.
also i dont know if my mem stick is a "magic" mem stick and dont know how to tell. i got 1x4gb mem stick and a 1gb mem stick, both look to be genuine sony.
thankyou in advance for any info you may be able to provide.
jason.
ps, i truly hope nothing ive said is against forum rules.