It is safe to invest in SBI Equity Mutual Funds and almost all the Fund Houses. Your money is invested in reputed companies or bonds by a professional manager. You can withdraw anytime (open ended funds) and enjoy the liquidity.
Be sure to invest in Direct Plan Mutual Funds only and look for the words “Direct Plan”. You then get upto 40% more in long term portfolio size by avoiding commissions and brokers. Go with an unbiased and direct plan aggregator platform such as Jamā.