Hire means you pay money to get something for a while.
loan is the noun of to lend.
rent is you pay money to have something for a period of time.
You can hire a person for his or her services.
ex I hired him as a guide to show me the scenic places.
or
I hired a car for a week.
Loan
ex He did not have enough money to buy the house so he took a loan from the bank.
Rent
The rent on my apartment is 500 dollars a month.
I rented an apartment in Soho.