HomeAdvisor.com is a site that can give you a good idea of what the average cost of hiring a handyman is. It's free to use and you can get quotes from prescreened and local professionals.
The going rate for handyman services seems to be about $50 an hour. However, it's always best to get quotes from multiple professionals before making a decision. It's also important to make sure that you're clear on what the job entails so that there are no surprises later on in terms of cost.