How about a nice simple exercise that mainly targets the front portion of your shoulders, but also a bit of the side delts, the upper chest and the traps? That exercise is the barbell front raise.
Barbell Front Raise
Key with this one really is to use the appropriate amount of weight, even if small plates look a bit ridiculous on that large barbell. Because otherwise you can end up exercising a whole lot of muscles, but not your shoulders. Besides, you should also have a heart for your furniture:
When To Do Them
Despite involving a number of synergists while targeting the front delts, barbell front raises can still be classified as an isolation exercise. So I suggest doing them after your shoulder compounds. For example, if you want to do two exercises hitting the front delts and one of them is the military press, the military press should come first.