Pesuke Dezimra (weekday) complete - פסוקי דזמרה (חול) שלם
Pesuke Dezimra Part One (Hodu until Lamnatzeah)
Pesuke Dezimra Part Two (Baruch Sheamar until Yishtabah)
This recording was sung fast because it was meant for weekday reading. Nevertheless, I did sing Hashem Melech, Baruch Sheamar and Yishtabah.
The chapters of Tehilim beginning with Ashre followed by the Haleluyahs are also recited quickly and Be'ezrat Hashem, I will have them recorded more slowly in the near future. In the meantime you can just slow down the playback on YouTube.
I must note that most synagogues don't sing Hashem Melech, Baruch Sheamar and Yishtabah on a regular weekday unless there is some sort of simha in the synagogue. Usually, it is just read.