We believe one should invest in equity mutual fund schemes only if they have a long investment horizon of at least five to seven years. Hope you can postpone your house purchase for a few years if need be.
An investor with a moderate risk profile is typically asked to invest mostly in multi cap schemes. If he wants to reduce the risk by diversifying, he is also asked to invest a small part of his portfolio in large cap mutual funds.
You are currently investing in a large & mid cap scheme, large cap scheme, and a multi cap scheme. The large & mid cap scheme may not suit your risk profile as it has the mandate to invest at least 35% in mid stocks. Mid cap stocks can be extremely risky. They can also be very volatile during a rough phase in the market. Make sure that you are okay with the extra risk in your portfolio.
You can reassess your risk profile and make sure that your portfolio is in line with your risk profile. Seek the help of a mutual fund advisor if you cannot do it on your own.
It is always better to put a number to your goal and start investing to achieve it. For example, find out the current cost of the house you are planning to buy and start investing to achieve the target corpus.