I can't really tell the kind of texture from your description. You can see some textures online at
www.drywallschool.com
It almost sounds like you have flat walls with no texture. On flat walls if you spray using a paint sprayer you will get a tiny orange peel texture, and if you roll them you will get tiny bumps and waves as roller marks (even on no-nap rollers for flat walls.) Maybe I am wierd, but I like the look of flat walls with sprayer or roller cover marks. After years of painting over them I would imagine that they would become more bubble like.