Figure out what you are interested in writing about. Have an angle before you start; inspirational writing takes many forms and comes from infinite directions, but must be meaningful and moving. If you have an idea of your style and subject matter or theme before you start your search, it will be easier to sift through jobs and find the one that suits you best.
Look for websites specifically for writers, rather than going to a general job search site. Some examples to start out are Freelance Writing Jobs Network, The Write Jobs, and Online Writing Jobs.
Research any jobs you find that seem good for you. Find some listings that look good, and then go to the source, researching the company or organization you would work for.
Apply, but rigorously edit your application, and have another party edit it as well. Since you're applying for a writing job, minuscule errors will be noticed and may result in your application being discarded.
Go to writing workshops and talks by inspirational writers and speakers as you search. These are not only good places to improve your writing skills, but can also help you gain connections in the writing world and find new places to search for jobs.