Antalya's a tourist resort, pretty popular among British tourists. You'll be no less safe than most places in the Med.
Here's a couple of resources for you.
Virtual Tourist
Trip Advisor
Thomson Holidays
If it won't cost you too much to go and other opportunities like this won't come up, then I'd say go. If there's a chance of other trips to Europe some time, then hold fire - there are much nicer places. Greece comes highly recommended by me.