It is a very good time to switch your job, having 3 years of experience is not a joke. It's a high time to switch to some other firm and it might give you a good hike as you are from a good firm. One thing more than a brand, but what kind of work you have done on which domain that matters a lot. As you are going to apply as experienced, knowledge matters and as well as to express that too. Hope you can satisfy yourself first as you will be switching and as well as your new HR or your higher authority.