Choices to handle the removal of hair on one's face should always begin with your skin. Washing your face is the prep work necessary to not damaging your complexion as you place either fast-moving electric or razor-sharp blades to your mug. There are plenty of excellent cleansers available that not only clean but keep your face in great shape, maintaining your youthful self and making your ready for whatever interpersonal or public outing you may ave in mind. Heck, you might just be taking a picture for your Facebook page, either way you're gonna look sharp.
If shaving by razor, get these tools: a safety razor, shaving cream, and a mirror. The last one seems obvious but a clean mirror will prevent accidents and a mirror with the ability to magnify will allow you to shave with precision if you maintain a beard. (Note: the old-time straight razor is not for the newly initiated or the squeamish. Use of this tool is for another post entirely.) Thoroughly wash your face with warm/hot water to prepare your skin and soften your stubble. Apply generous amount of shave cream approximately where you have a beard. Take the razor by the handle and pull down as the hair grows on your face in steady fashion. Try to avoid short choppy movements. Trickiest parts of your face will be your chin and neck. Don't try to pull your skin tight with your free hand too much. Remember to clean off the razor periodically with running water from the sink so the razor is clean when it passes over your face next.
When you're done, dry your face with a towel. Run your fingers over your face to see if you missed anywhere or look again in the mirror. If you did you can wet your face and place some shave cream where you missed and get it. Trust the shaving cream, it's there to lubricate the razor blade as it cuts the hair. Also trust the razor, provided its sharp: don't continue to use a blade until it's dull to save money. A newer blade is safer than an old one.
Here's a popular brand and good razor, but there are more that work well also:
Note: if you do nick yourself, do not panic. Ideally, old-time approach is to use a styptic pencil (if you can find one at the drug store) or a small piece of toilet paper. Before these remedies, cool wash cloth over the nick and pat dry. Use the TP tag to help the nick clot. It'll sting, but it will keep from ruining a shirt you might have on.
Hope this helps. Glad to answer any other questions. And if you're wondering, I use both electric and conventional safety razors throughout the year. They both have their advantages and disadvantages.