i don't really get spots but there are products available especially for combination skin.
The absolutely best way to wash your face for everyone is with Clarins One Step Gentle Exfoliating Cleanser, it costs about a tenner but it does everything and you don't need to use very much of it. You can get a free sample from the stall to try it, the little sample bottle lasted me ages.
You probably shouldn't use the same moisturiser all over your face, especially not Nivea as it's really heavy. I like the Garnier Skin Naturals Ultra Lift, which is only about £3 and is on special offer all the time. That's good for drier bits but is still quite light. I love those plasticy pieces of paper that remove oil from you, they are brilliant.