Can't decide on an opening for white My opening repertoire so far includes pretty much exclusively the French Defense as Black against e4, and that is about it. What does this indicate about what type of player I am? 

Also what would be some good suggestions to play as White? I tried the King's Gambit a lot but it either is just not my style or maybe it requires more study than I have put in to get decent results with it.
I agree that 1.d4 and Queen's gambit are the best option from what you told about yourself.  

In French, it's typical to have d4-d5 pawns in the center, a bad black white-squared bishop, space advantage for White and a plan based on c7-c5 for black. These points are also common in the Queen's gambit declined. I write from my own experience of playing these openings.

You might also search through a database and see which grandmaster's style fits you well, and copy their opening repertoire. Good luck!