I've had a bunch of different pairs of running shoes from Saucony to Asics to New Balance to Nike to Reebok, etc. My best advice is to find what's comfortable for you. Some people will swear by any of the above, but from the 10-12 pairs of running shoes I've had from track/cross country/etc., I've liked Nike the most. I've got a pair of Shox for speed and hill workouts, and a pair of Frees for my long distance runs. Get what's comfortable, especially if you want to do any sort of long distance training. In such a case, I'd recommend getting a pair of shoes now, and then another in a month or two and starting to rotate them. I know people who love Saucony or any of the above, but I truly believe it just comes down to preference. Whatever you do, don't get a cheap ****** pair of shoes if you plan on doing any real training. That screams injury.
Like others have mentioned above, Fitness Sports = the best in DSM.