E) Spend a small amount of that money on getting advice from a paid financial planner. (Not a broker or someone offering you "free" advice; their recommendations may be biased toward what makes them the most money).
A good financial planner will talk to you about your plans and expectations both short and long term, and about your risk tolerance (would a drop in value panic you even if you know it's likely to recover and average out in the long run, that sort of thing), and about how much time and effort you want to put into actively managing your portfolio.
From those answers, they will generate an initial proposed plan, which will be tested against simulations of the stock market to make sure it holds up. Typically they'll do about 100 passes over the plan to get a sense of its probable risk versus growth-potential versus volatility, and tweak the plan until the normal volatility is within the range you've said you're comfortable with while trying to produce the best return with the least risk.
This may not be a perfect plan for you -- but at the very least it will be an excellent starting point until you decide (if you ever do decide) that you've learned enough about investing that you want to do something different with the money. It's likely to be better advice than you'll get here simply because they can and will take the time to understand your specific needs rather than offering generalities because we're trying to write something that applies to many people, all of whom have different goals and time horizons and financial intestinal fortitude.
As far as a house goes: Making the mistake of thinking of a house as an investment is a large part of the mindset that caused the Great Recession. Property can be an investment (or a business) or it can be something you're living in; never make the mistake of putting it in both categories at once. The time to buy a house is when you want a house, find a house you like in a neighborhood you like, expect not to move out of it for at least five years, can afford to put at least 20% down payment, and can afford the ongoing costs. Owning your home is not more grown-up, or necessarily financially advantageous even with the tax break, or in any other way required until and unless you will enjoy owning your home.
(I bought at age 50ish, because I wanted a place around the corner from some of my best friends, because I wanted better noise isolation from my neighbors, because I wanted a garden, because I wanted to do some things that almost any landlord would object to, and because I'm handy enough that I can do a lot of the routine maintenance myself and enjoy doing it -- buy a house, get a free set of hobbies if you're into that. And part of the reason I could afford this house, and the changes that I've made to it, was that renting had allowed me to put more money into investments. My only regret is that I didn't realise how dumb it was not to max out my 401(k) match until I'd been with the company for a decade ... that's free money I left on the table.)