How to stay updated about the latest information in fashion, trends, and fashion designing? Are magazines like Harper Bazar, Grazia enough?

To stay updated on Fashion Trends, fashion magazines like the ones you have listed are a good starting point. You could also look at other magazines like Elle, Verve, Cosmopolitan, Vogue etc. There are also many sites online that you can access and you can also look at Fashion blogs like Missmalini.