Easy place is how the Arilou refer to one of ten specific parts of space, and possibly time (or *time*). When The Captain meets the Arilou in HyperSpace they may note that "This place is an easy place". Whether this refers to this part of the galaxy, this dimension (HyperSpace), the Arilou's Sphere of Influence, or something else, is unknown.
The Arilou are exploring easy places to trap *Nnngn*. They note that at different times they explore different easy places. This may or may not refer to the three days a month that the naturally occuring QuasiSpace portal is open (the portal may stay for three days every month in a different "easy place" located in a different dimension, totaling up to a month).