Do get a good pair of optics. This will let you look at an area you plan to stalk, before actually being there. Take your time. Look at everything through your binoculars. Once you've decided to move, do it slowly. Don't plan on covering a lot of ground fast. Take a few steps and stop. Look around slowly. Bring up those optics again and have another look. Listen very carefully. What may have sounded like wind blowing through the leaves a few feet back, might actually be a deer walking slowly through the trees.
The main thing is don't get in a hurry. Stalk hunting isn't about speed, it's about getting close to your target. Use some form of scent control. There are many on the market today and I believe in them.
Always be ready if you have to make a shot. If you're moving slow enough and paying enough attention to where you are going, when that deer finally spots you, it should be too late for it. You'll notice that some does and even some younger bucks might run a few yards and then stop to see what you are. You should be ready to shoot the second they stop.