1. Research and find grants and 2. Apply properly.
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Where to Find Grants
For literary grants, the UK and Australia have their own national and local committees, while Canada has province and city arts commissions. The USA has State and Jurisdictional Arts Agencies, Regional Arts Organizations, all under the umbrella of the National Endowment for the Arts.
USA
https://www.arts.gov/partners/state-regional
https://canadacouncil.ca/
https://www.rlf.org.uk/
https://societyofauthors.org/Grants/Grants-for-works-in-progress
https://www.australiacouncil.gov.au/
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The Application Process
Learn everything about the grant provider. Read about former grant recipients. Follow the guidelines. See if you are a good fit for what the grant provides. They have a mission. You, as a writer, have to match the mission of the grant provider.
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Watch the deadline. Allow ample time to do your paperwork, collect documentation or references, and speak with people you may need for advice.
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Reach out to the program manager. These grant commissions are the ones who know grants and understand the process. Meet or call them. Get to know them. They will help you present the best grant application you can.
An amazing number of applications fall short because of details rather than qualifications. On the positive: Almost a third of applications for writer's residencies, fellowships, and grants make it! What do you wait for? Start applying!