A house as your primary residence is not an investment. Do you want to purchase a home? You certainly can save some of your money as a down payment on a home. However, if you want to invest, you may want to look into a rental property, or you may want to look into an owner occupied duplex as your first property.
Real estate is not as liquid of Stocks. It is a large commitments, and a large commitments to work with renters. If you prefer the stock market, you could easily get into a vanguard S&P 500 or total Stock market index fund. It's a piece of cake, and you can do automatic contributions to that type of fund. Alternatively, you could look at investing in individual companies. If you choose to do this, I would highly recommend you getting some advice. I take advice from Motley Fool pro. It is paid advice, and it is conservative advice. You could also learned about dividend stock reinvesting, and also DR IP programs, where you buy a little bit of stock at a time and reinvest the dividends.
The key here is, when you are making investments of thousands of dollars, you have to educate yourself. Don't do it without putting thought into it. You will need to research your Stocks or your real estate thoroughly and really understand what you're getting yourself into. If you don't have a lot of time to become informed, then index fund is your easiest option.
Congratulations on your awesome savings rates. Keep up the good work!