Lots of good advice here!
How often are you testing your BG? If you really want to get control of your diabetes, most people find that testing 8-10 times a day is one of the most helpful things they can do. Test when you wake up in the morning. Test before you eat every meal and snack. Test one and two hours after you eat, each time. Test when you go to bed. Keep detailed notes about what you've eaten, when you've exercised and for how long. Counting the carbohydrates in everything you eat is essential and will help you decide what foods do or don't raise your BG.
After a few days, you should notice some patterns. One is that if you eat a meal that's mostly protein and fat--say you have bacon and eggs for breakfast--your BG won't elevate by much at all in the first hour or two, but it my slowly rise over about four hours, sometimes a bit longer. It shouldn't rise to a dangerous level, though. If you eat something that's full of fast-acting carbohydrate, like many kinds of fruit, fruit juice, white or brown table sugar, etc., your BG will usually go up dramatically and pretty quickly, too! Some things like pasta may spike your BG considerably, but may take as much as 5, 6 or even 8 hours to do so.
While it's possible to make some broad generalizations about what most of us can or can't eat without raising our BG, everyone is different. Only you and your meter can find out what different foods do to your body.
BadMoon recommended the Blood Sugar 101 site. It's excellent! You might also get a copy of Dr. Bernstein's Diabetes Solution, which is available in most bookstores. You can read much of it online at his website. Dr. B gives an excellent, detailed, clearly-written explanation of what diabetes is, what it does to us and ways to manage it with exercise, diet and medication. He also includes a detailed diet that has been very effective for thousands of people. Even if you don't follow his way of eating forever, trying it for a couple of weeks will bring your BG down to normal--normal, that is, for someone who doesn't have diabetes! A few weeks of that will transform the way you feel, I promise! Even if you feel well right now, when your BG is consistently lower, you will be amazed by how much better you feel. Your pancreas will get a good rest, your mental clarity will improve and you'll likely sleep better than before, all while not being hungry! Some people don't stay on Dr. B's diet forever, but still benefit from it occasionally.
Keep asking questions here. People are incredibly helpful and resourceful.