Nick,
You asked,
"Does Buddhism say that we must endure suffering or rather change our attitude towards it?"
--> Buddhism takes a different approach. Buddhism says that we should get so involved helping others that we forget we are suffering. I personally have been able to use this philosophy to my advantage. I remember the time when I was doing volunteer work at the local Buddhist temple. At the time, my boss at work was giving me a lot of trouble, and I was very unhappy about it. However, while I was at the temple doing volunteer work, I was able to get so wrapped up in helping other people that I was able to forget my problems at work while I was at the temple. (Then, on the drive home from the temple, I would start worrying again about my problems at work.) At least I was able to forget about it while I was doing my volunteer work. This is the essence of the Buddhist attitude towards suffering.
"Does Christianity glorify suffering or rather assert that we must learn how to suffer in order to profit from it?
--> I think that there is a certain amount of glorifying of suffering in Christianity. For example, a friend of mine who is a Baptist minister recently gave a sermon entitled, "We have to suffer to be happy."
By the way, Nick is an interesting name. In Japanese, nikui means terrible, as does the Japanese word nikutarashii. I write my name Nick in two Japanese character, ni ku, which mean terrible suffering. In British slang, to nick something means to steal it. The name of the Devil is Nick.