Actually, you can get very strong and not add bulk. There are a lot of powerlifters out there that weight under 200 that are stronger then most NFL lineman. George Halbert just benched 560 pounds at a bodyweight of 198. Strength training should focus on training the CNS to effeciently move heavy weights. This can be done without adding muscle. You need to train basic compound movements with the rep range being between 1-3 reps per set. No one is going to build large muscles training with less then 3 reps. That's why bodybuilders train between 8-12 reps per set. This rep range is optimal for building muscle. In fact, when powerlifters are trying to move up in weight class, they do more reps per set (6-10) to build mass. If they're maintaining weight or dropping a weight class they perform fewer reps like doubles and singles.
If you really want to get into strength training search Westside Barbell training or check out Elite Fitness Systems website. You'll find all kinds of useful articles. I am a powerlifter and I have also developed a passion for cycling. They can both work as long as you plan and prioritize your training.