both series also features travels thorough dimentions, In Bartimaeus their is the real world and the sphericial universe of the demons/spirits (which includes in strength level Imps (and lesser not identifiable farts), foliot Jinns, Afrits, Marids, and stronger beings which are way to strong to weigh (messure), you don't call for marids for other reasones that you are half mad.
in His Dark Materials their is 3-4 different spheres/realities, and different landscapes, and wierd animals, the deamon feature is quite facinating while this series takes upp Religion merged in Political agendas, Bartimaeus is more political and satirical, Bartimaeus the 5000 year old Jinn is realy funny and quite a know it all, care face attitude (and he is the Protagonist, he's master Nathaniel is sort of very sore ass, arogant and sometimes you will strangle the kid)
two of the best series I have read in fantasy, quite interesting plots and theme which makes you think