I do not, under any circumstances, reccomend going to third party shops unless and untill you are 200% sure.
As a rule, i always prefer COMPANY OWNED Petrol Stations, Manufacturer Dealers such as those of Suzuki, Honda and Toyota or the ACTUAL dealers/Wholeseller Shops such as those of ZIC and Mobil.
I personally get the oil of my Honda CIty changed from the Honda Dealer. It is a lot more conveinient, there are no questions of fake oil and the filter is genuine. To top it all off, I do not have to worry if the filter is genuine or not. These days, even experts cant tell.
WHile at it, I would also emphasize the importance of Oil FIlter. The best oil in the world would not do any good if paired with the fake filter. SO make sure u go for the GENUINE thing