Fund house is better. Plus they have option of entering all types of asset class like Debt, gold and even Thematic ( Sectoral ) MF.
Also, they can target Large Cap, MC, SC etc. Even international funds are now available.
Specific ETFs may not be available and one can check but same or similar MF instrument is definitely there.
By MF route you can achieve everything, its only that you don't have finer control. Pay a small fee called "expense ratio" and leave the management to fund house.