Energy
Haven't yet found a one-stop article on all the practical tiny home energy options, so here's a starter list:
Solar - solar panel system; LOTS of info on these
Burning stuff - typically, wood and pelletized combustibles, maybe kerosene and heating oil,…; generally for heating
Wind - electricity generated by tiny turbines, sounds expensive and dependent on the weather (i.e. sunshine)
Hydroelectric - like tiny wind, you can get tiny hydro turbines if you have a suitable stream to put it in; not practical in a cold climate where your stream freezes in winter; here's an idea of
gear and prices for a tiny system ($3,000-5,000), and for one brand of tiny turbine, the
PowerSpout
Gas - propane, for cooking, heating, refrigeration; maybe compressed natural gas (CNG)
AC mains - plugging into the electrical grid
Generator - a gas-powered generator for electricity
Passive design - make use of sun and wind for (assisting with) heating and cooling
Conservation - by using highly efficient appliances, and using less in general, you effectively increase the value of the energy sources you select
Here's a quick-read basic article on how to calculate how much electricity your tiny home needs, particularly if you're going solar and offgrid.
Heating
Well-discussed choices are electrical, wood, propane, coal and kerosene.