Toward the east side are Clackamas and Happy Valley. West are Beaverton and Lake Oswego. Southwest are Tigard and West Linn. Northwest are Oak Hills and Rock Creek.
The suburbs around Portland, Oregon, include: Gresham, Milwaukie, Lake Oswego, Oak Grove, Gladstone, West Linn, Oregon City, Tigard, Beaverton, Tualatin, and Cedar Hills.
I do not know any suburbs around Portland Oregon, but I am sure if you use google you will find more than enough information on suburbs around Portland Oregon and you can also check the local library.