Look no further, it's on the table right in front of you! Just be sure to keep the open flames away from it.
If I was cynical I could boil down my love of typewriters to some form of hipster bullshit. Like fedoras. People always ask my why I'd put myself through such a task of writing a novel on a typewriter, when I could just use a computer. I could tell them that every writer has a method for how they write. Hemingway wrote standing up on a typewriter, Capote wrote lying down on a sofa with a pen and yellow legal pads, and Annie Proulx begins long-hand before switching to a computer. Everybody has their method. (As for myself, I write all first drafts of any project - novel, short story, poem, whatever - on my typewriter, then transfer them to my computer for editing.)
My reasons are simple. First, I feel that writing on a computer directs my attention to how a story looks, rather than what it's made of. In other words, I spend more time on presentation than substance. Whether it's the constant back-spacing, or ignited rage at the red underline, I find computers to be distracting during the creative process of the first draft.
With a typewriter, I don't worry about mistakes or typos because there isn't an easy way to fix them, so I don't worry about them until editing time. I believe this allows my train of thought to flow more easily. And the longer I can maintain that flow, or "juiciness", the more productive I am. This also allows me to maintain focus on my story and its details, rather than the details of font size, save as, and et-cetera.
Typing on a typewriter is like playing a musical instrument along to a metronome. The sound the keys punching paper through the ribbon sounds like the tick-talk of keeping time. In a sense, the sounds the keys make sort of help keep the tempo of your thoughts as you get them out onto the page.
My second reason relates to editing and crafting a finished product. I'll admit, I'm a writer, not an editor. My strength is in the creative process, not in revision. But I want to improve. And typing on the typewriter helps with this. Because you can't fix mistakes with a typewriter, as I've already said, the first drafts are littered with typos. Due to this, after I've arrived at a first draft, I then retype, word-for-word, the entire story onto a computer, where editing is easier.
This forces me to concentrate on each and every character I've typed into the story. From there, I make a series of additions and subtractions in the formation of second or third drafts until I'm happy with the story.
Typewriters might be old school, but I've found writing a story in this way really helps smooth out the process of creating the story, and sharpens my editing skills. What the hell, I'll feed a little paper for that!