For reading the air temp , a roast in the oven, or your hot tub, most any type TC will work.
For reading forge temps and knifemaking work, a robust type K TC is needed. You need an 8-10 gauge probe ( 1/8") with leads long enough to get away from the heat source. If permanently mounting in a forge, use a ceramic sheath.
The reader can be a multimeter, pyrometer, or a PID. The accuracy varies greatly, so look closely at the accuracy and range. Some say things like "+/- 3 degrees...or 3%". At 1500F, that is +/- 45 degrees. That is close enough for many things, but not really good for HT.
Take several readings and average them for the best results.
Use a TC block to connect the TC leads to the wires going to the reader, and observe polarity. You must use TC wire that matches the TC ( type K). Regular speaker or lamp wire is the wrong type, and will make the reading inaccurate. Best method is to use a TC plug and cord that fits the reader device, or install one and use it. The plugs are polarized, and the wires are correct.