The need for a hot air gun greatly increases the possibility of damaging various parts of the laptop [keyboard, airport antenna assembly, clutch cover, strip around the screen, even the screen, possibly the two brackets --- which allow the top and bottom cases to fold together for the clamshell effect --- which are not metal but rather plastic painted to look like metal]. Some people have spent the extra money to buy a special hot air gun with a small focused spout. But, the smarter, simpler, approach is to forget about replacing just the front glass cover and replace the entire display assembly instead. iFixIt is currently out of stock of entire display assemblies, but you can find them elsewhere on the Net for $100 or less. Instead of buying iFixIt's glass cover and recommended tools, I could have bought the entire display assembly for about the same money.
Mine had a small piece of insulating material on top of the connector. By removing that first, I could then pry up the connector with less stress on the cable.