Answer: a. Kurtis is moving to a new city to start the job he was hired for.
Step-by-step explanation: "is moving" is present progressive tense.
"was hired" is passive past tense.
"to start" is an infinitive.
These are correct verb forms.
b is almost correct. Kurtis "moved" is OK in the past tense. *is started* should be "has started"
c is partly correct. *to starting* is ungrammatical here.
d is wrong because *to started* is always ungrammatical.