"Hire an electrician. Finding a competent handyman is about as likely
as
winning the lottery. And no, nobody here can tell you what it will
cost. The
person doing the work has to look at the house. "

Electrician is definitely the way to go. How much it costs depends
mostly on how easy it is to run a cable to the spot in your cathedral
ceiling. If there is access to the upper end, possibly from an attic
area, if there is one, then it can be easy. If it's a cathedral
ceiling with no way to access it, then expect to pay a lot more and
possibly have to rip open some walls along the way.