Here are mp3s for the daily services, for those who would like to lead them, or to better be able to follow along. Each service or part of a service has it's own nusach, which includes the mode of the scale, melodies, and motifs often used. Davening is the Yiddish word for praying, which includes all the motions and sounds which go along with that.
Shacharit: (the morning service)
Pesukei Dezimra: (opening psalms, the first part of Shacharit)
1: Intro 2: Birchot Hashachar (p.6) 3: End of Birchot Hashachar (p. 6) 4: Ashreinu (p. 7) 5: Psalm 30 (p. 14) 6: Baruch She'amar (p. 16) 7: Chronicles (p. 17-19) 8: Mizmor LeTodah+ (p. 20) 9: Ashrei (21-22) 10: Psalms 146-9 (p. 22-25) 11: Psalm 150 (p. 25 in middle) 12: Baruch Adonai (p. 25-6) 13: Shirat Hayam (p. 27)
The Middle Part of Shacharit: (shema & amida)
Note: announced page numbers may be different than the siddur we use
1: Yishtabach (p. 29) 2: Chatsi Kaddish (p. 29) 3: Bar'chu (p. 30) 4: Vechulam (p. 31) 5: Ahava Raba (p. 32) 6: Shema and V'ahavta (p. 33) 7: Tzitzit paragraph (p. 34) 8: Blessing After Shema (p. 34) 9: Tehilot (p. 35) 10: Weekday Amida (p. 36b) 11: Kedusha (p. 37) 12: Chatsi Kaddish (p. 64) 13: Taking Out Torah (p. 65) 14: Putting Back Torah (p. 76) 15: Eitz Chayim (p. 77)
End of Shacharit:
1: Ashrei+ (p. 78) 2: Kedusha Desidra (p. 79-81) 3: Kaddish Shalem (p. 82) 4: Aleinu (p. 83) 5: Shehu Noteh Shamayim (by Rabbi Shira Shazeer) 6: Al Kein 7: Psalms of the Day
Mincha (the afternoon service):
Mincha 1: ashrei (beginning & end)
Mincha 2: Chatsi Kaddish
Mincha 3: Amida first page
Mincha 4: Amida-- Kedusha
Mincha 5: Full Kaddish
Mincha 6: Aleinu
Ma'ariv (the evening service):
Ma'ariv 1: Blessings Before Shema
Ma'ariv 2: Shema & V'ahavta
Ma'ariv 3: Blessings After Shema
Ma'ariv 4: Chatsi Kaddish
Ma'ariv 5: talk through full kaddish, aleinu, then Psalm 27
Ma'ariv 6: final thoughts and pointers
Alternative Tunes/Davening for Shacharit
p. 7 Ashreinu
p. 14 Eilecha
p. 20 Ivdu et Hashem