As StMaryPete mentioned, the meadows will be closed to walking, so you'll take the trail out of the visitor center to the water tank, and continue on trail past a nice waterfall to the mountain. The trail splits, with one fork going to the saddle between Oberlin and Clements. The other fork goes back in the opposite direction, toward the Garden Wall. It rises first though a talus bowl, but then gets into scree chutes for the rest of the way up. The saddle route is easier.
Piegan may be the next on your list. It's a lot longer and higher, but no special challenge, especially if you come by the Piegan Pass Trail from Siyeh Bend. It's a bit longer that way. From Piegan Pass just head up to the saddle between Piegan and Pollack, then straight to the top. it's all walking, no actual climbing. You can also come up from Lunch Creek. It's shorter and steeper, and getting above the big waterfall isn't obvious at first, but no real trouble. Follow the trail from the the road at Lunch Creek to the waterfall, find the trail climbing up on the right side of the falls, then head for the saddle. People with extra energy come back to the saddle and climb Pollack, too, before heading down. Last summer i went up Lunch Creek to Piegan, then down to Piegan Pass and Siyeh, and hitch-hiked back to the car. You could catch the upbound shuttle.
I'm not sure i can recommend either Edwards' book or Passmore's books. You'll just read them, and then re-read them, and get second copies just in case, and then you won't be happy until summer comes and you're back in the Park. Or Passmore comes out with the next book. Check out Glacier Mountaineering
http://www.glaciermountaineers.com/ Nice bunch of people ranging in age from 12 to 80+, and there are usually a few climbs every weekend, ranging from Oberlin and Piegan on up.