When reading your story, you need to be real comfortable; relaxed and switched on to what you are doing. And here we may present another problem: Clothes. Unless the sounds made by clothes are part of the general ambience (sound effects) of the work, the last thing you need is the sound of pieces of corduroy rubbing against each other; nor does the listener expect to hear the sound of the underwire in a bra or the slither of a blouse or shirt at an inconvenient moment (this might also include any jewellery; a clanking bracelet can be a very noisy thing indeed). Even quietly, these sounds can be remarkably distracting: Natural materials, worn slightly loose & discretely is more likely to be just the thing you need.
Your mouth needs to be a 'reasonable distance' from the microphone.
This may come as a surprise, but a microphone can usually hear you breathing, so you'd better practice! You don't want to be (with a simple microphone) too close that also gets all the explosive consonants (Ps & Bs, etc.), nor so far away that you need nearly flat-out recording gain complete with noise (hissing, etc.). A generous cladding of low-density sponge, can really help (sometimes available via E-Bay often called a 'Pop Filter'.
Here we have a bit of a problem that only you can solve. For a given type of microphone, there's generally an "optimum" distance, for a given type of voice.
At this point, I'll leave you to experiment and find your own best method. If you have a shrill, trebly, voice, use a big microphone which responds well to the Bass notes.
You need a fair bit of energy at the bottom end, usually (a lot depends upon the type of story). If you have a deep voice, you'll need something a little smaller, with good treble. The alternative is an 'equalising' mixer, but that's getting a trifle technical.
You might be tempted to think that one microphone is much like another: It ain't.
At the beginning end of microphone types, there are two to look for; "Omni directional" and "Cardioid". As it's name implies, the Omni literally picks anything up from round it, regardless of direction. This often includes next door's domestic row, vacuum cleaner or even the lawn mower; all of which may be reduced a little by the sound-deadening soft furnishings outlined above.
I do not recommend an "omni-directional" microphone as a general rule for an individual voice. An omni microphone, on the table may well pick up a group, so if you have a number of voices round the table, and Omni mic is the place to start (do not forget to insulate it from the table top).
The Cardioid has, as its name implies, has a roughly heart-shaped response, tending to reject (perhaps that should be 'suppress') sounds from the sides. You usually have to speak directly into this microphone, depending upon the reaction you want.
And upon what sort of machine are you going to record this masterpiece?
Let's start off with the easy end: you have a half-decent cassette recorder or even a decent Open Reel type.
Now, if you get the acoustics right, you could be on to a winner here; provided you have a decent microphone.
I suggest a moving coil (a.k.a. "dynamic") type for preference; an electret can be a bit tricky and, unless you have the knowledge, forget the true "Condenser" microphones; they usually require a power supply). E-Bay can help, but there's lot of serious advertising and the skill of the buyer is assumed in there; and very confusing it is, too. Price? Anything from 99 pence to 99 pounds, depending upon the make and type.
You'll notice I have not mentioned stereo. Two channels (Left & Right); thus two microphones, perhaps; it's not vital, but it/they do have advantages (you can shift the sound source from one side of the "sound field" to the other, think of a conversation). Naturally, if you have the supplied microphone, it might even record to both channels anyway.
One important thing: never 'blow' into a microphone. Scratch your fingernail across the grille, or gently tap it but NEVER, NEVER blow into it (even a cheap one can be easily damaged).
Of course, the modern 'gaming' headset, with a boom microphone could be just the job, provided you have a decent control of external sounds and acoustics. This brings me to the use of the Computer as a recording medium. As I have and use a PC, I'll stick to that. I assume Mac users can find some sort of equivalent (if Apple lets them).