Save your document as .odt. Always work in native format and only File - Save a copy of you need to export to a foreign format.
Then you would need to work out how many pages styles you need, probably a maximum of 5. The main body of the work can be converted to Default Page Style, that will take a bit of time I guess. You might want a separate page style for the first page of each chapter. You also probably want different page styles for the introductory pages and for appendix.
Set your desired font in Default Paragraph Style but don’t ever use that style in the document. The main body of your work should be done in Body Text which should get the font from Default Paragraph Style.
Set the font for headings in Heading paragraph style, Heading 1, Heading 2, etc. should pick up your setting for font. You might have to set font size, you can use a percentage (of Heading paragraph style).
Note that if you have set any of the parameters manually already, you might have click the relevant Reset to parent button in the style dialogue page to enable it to inherit from its parent style.
See the Writer Guide for information on styles, download from English documentation | LibreOffice Documentation - LibreOffice User Guides
Also see Designing With LibreOffice, https://designingwithlibreoffice.com/