The search words for the parts needed would be:
PID controller
type K kiln thermocouple 8-gauge
ceramic thermocouple sheath tube
type K thermocouple connection block
type K thermocouple wire
Check the items you find in these searches for price. Some come up ridiculous. The total for all should be around $100 max. For example, the TC block will show at $100 on one site and $8 on another. Amazon and eBay are good sources. Often the parts can be bought as a kit for as low as $80. The kits unsulky include the SSR and heat sink, which you don't need to use as a read-only pyrometer, but they may become useful if you set the PID up to control the forge temperature.