Other reading order suggestions:
Author’s Suggested Order
The author suggests you begin either with Suicide Run and read in order from there before going back. Or read The Children of Amargosa, Second Wave, and Storming Amargosa before reading anything else.
Follow that with No Marigolds in the Promised Land, Tishla, Broken Skies, and Warped to get a good overview of the wider Compact Universe. Flight Blade will introduce you to the character of Mitsuko.
The Roots of War (formerly The First One’s Free/Before Amargosa/The Magic Root)
The Marilynists (originally part of The First One’s Free)
The Children of Amargosa
No Marigolds in the Promised Land (originally a newsletter serial in 2016)
The Seeds of War Omnibus
The Homefront Arc Omnibus
The Gathering Storm Omnibus