nc_cooter - 1/4" type K. It doesn't matter if it is grounded or ungrounded for our purposes. The connecting wire needs to be thermocouple wire. I have plenty,if you can't get it with your thermocouple.You also should get a ceramic sheath thermowell.If you don't use a thermowell, get heavy gauge probes, See below.
beta medic88 - This is how a pyrometer ( pyrometer is the term used for a high temperature thermometer ) setup works for a forge.
You need a thermocouple that is made to read in the range we are dealing with, and sturdy enough to survive the environment inside a forge. The range type is called type K, and will read to around 2500F. It needs to be robust enough to not melt or burn up in the flames, so a 10 or 12 gauge solid wire unit is the best.these come with ceramic spacers that protect the leads .The tip is the only part that reads the temperature,BTW.It is there that the junction of the two dissimilar wires create a bi-metallic joint, which creates a small electrical current, variable by the temperature. The thinner gauge units will work, but will not last as long. The best setup is to install the thermocouple in a thermocouple well, ceramic being the best, but a stainless piece of 1/2" pipe will do fine. Put a cap on the end in the forge and slip the thermocouple down it.
The thermocouple needs to be wired to the reading device with a special wire called thermocouple wire. The connections need to be secure ( twisting the wire around the thermocouple leads won't cut it) and a thermocouple head block is the best way, but Kearney nuts will work fine. Using regular copper wire may make the readings off.
The thermocouple needs a device to turn the small electrical current it generates into a digital or analog reading. This can be a simple as a multimeter (not usually very accurate) ,a specialized pyrometer unit ( Auber instruments and others), or a PID ( what most knife guys use). The PID is readily available on ebay for about $30-40. It can be simply connected to the thermocouple to read the temperature ( ignoring all its other functions). If you later on decide to control a device ( toaster oven for tempering ,or a controlled forge) it can be hooked up to do that,too. A PID and a thermocouple will cost about $75 on ebay. The other items needed to hook it up can cost from a couple dollars to $50, depending on how you want to do it.
There have been several threads lately on PID controllers.
A coffee can forge with only refractory cement will not be a very well controlled heat source for HT. There also may not be much room for the thermocouple. Check out building a simple 12" gas forge , it is not expensive. There are guys here who have done it for $30-50, with a little smart scrounging.It is easily done for $100.
Stacy