Cousins once removed. Second cousins are your parent's cousins. And your cousin situation sounds a lot like mine and my children - not a lot of cousins happening.
If two people have the same grandparents, then they are cousins. If they have the same great grandparents, then they are second cousins. atomicnumber3 was referring to what atomicnumber3's kids would call atomicnumber3's cousin's kids.
Cousins once removed. Second cousins are your parent's cousins. And your cousin situation sounds a lot like mine and my children - not a lot of cousins happening.