Basically: when they are faulty.
The original Thermostat on your Trail Blazer should last longer than the warranty, so 60,000 miles or more.
Then the fun starts.
when the thermostat will not open when placed in a cup of boiling water
It is recommended to change the batteries in your thermostat once a year to ensure it functions properly.
Every time you change the coolant.
I would start by changing the thermostat. They go out, often, or have a tenacy to stick, and are cheap.
When you overhaul the engine. It is designed to last the life of the engine.
Every 2000 miles
Follow the recommendations in your owners manual or change it every 5,000 miles.
Standard spark plugs, 50000 miles. Platinum tip spark plugs, 100000 miles.
On a 1999 Chevy Blazer, the heater blower motor resistor is typically located under the dashboard on the passenger side, near the blower motor itself. It is often mounted to the HVAC housing and can be accessed by removing the lower dash panel. Ensure to disconnect the battery before attempting to replace it to avoid any electrical issues.
every 10,000 miles
Probably every 5000 miles. Or 6 months.
look in your owners manual but usually at 100,000 anymore.