The following table shows my recommended second word, according to how you do after playing STARE. I list every situation where the sum of yellows and greens is 0 to 2. In two situation, I found there was no valid word.
For example, if STARE results in only a yellow in the fifth position (from the left), then play MONEY as your second turn.
My advice is based mostly on which word has the most frequently used letters, especially in those positions. However, I also gave some consideration to words I head of. For a list of my top ten for situation, please see my post on this topic at Wizard of Vegas.