Here's a link to a chart showing pipe size psi & flow reduction by pipe size at 60 degrees fahrenheit:
https://www.advantageengineering.com/fyi/166/images/chart_12052017.jpg
Fluid dynamics and how they flow through pipes, through elbows, friction from pipe wall, and turbulence passing by tee's for examples can be quite complicated, and I believe understanding it all really isn't necessary. For ease, the chart shows how water flowing at 5 gallons per minute, the pressure drops by 11.2 psi per 100 feet of 1/2 inch pipe, and the pressure drop is 0.8psi for 1 inch pipe over the same 100 feet, a substantial difference. Because the pipe is twice the size doesn't mean the pressure reduction is by half. There's crazy ratio's involved calculating these sorts of things which I find confusing.
Most municipal supplies to homes in america is either 3/4 in or 1 inch. 1 inch pipe provides a lot of flow, and I believe 1 inch pipe will provide all the satisfactory supply needed for your tiny home. Hope this helps!