Besides savings, how can I truly capitalize on investing 7k a month for the next year?

I am lucky enough to be debt/bill free and living on a military base in the middle east with a car/cellphone/ all meals paid for (not the best food, but it is free). With so little to actually budget, I have about SEVEN thousand dollars a month to invest in whatever I want to invest in. I have 6 to 12 months living expenses in an emergency fund. My goal is to have 100K invested by next year sometime. Should I hire a broker? Go for mutual funds? Or should I start to build my own diversified portfolio myself? I have no real experience of investing, but I know there has to be something better than 1.10% apy from an online bank account. I feel that this next year will be pivotal in what my life will be like when I retire. Also I will be 37 in about 2 months, I have no real estate, and my car is paid off.