I am thinking of going to Glacier National Park in September, can anyone suggest lodging around the area??

If you go to www.tripadvisor.com you should be able to find lots of hotels, etc.

I suggest staying on the east side of the park, at park lodging or in St. Mary's.

Lake McDonald Lodge and Many Glacier Hotel in the park are great examples of national park lodges. If you to be outside the park, Columbia Falls, Whitefish, West Glacier and St. Mary's all have options.
I like staying on the east side to drive Going to the Sun Road east to west first, just like the views better that direction.

Kalispell, 35 miles from the west entrance has a large choice of hotels, motels, restaurants and shopping.