Congratulations on your new beginning and as you said that you are searching for names that can be trendy, catchy and remembered by all, you need to think of something common yet innovative. As you are dealing with garments, jewellery and electronics, you can make a name mixing all the three or name starting with your name as it will be goodwill as well as help many to get a quick thought of your stores. Some of the names that come to my mind are:
1. According to your name - GP mart, GP stores, GP shoppy, etc
2. According to the items - Gar-Jel-Tronics, Garments for you, etc
3. Some fancy ones - All-in-one shoppy, Shop N Swipe, Smart shopping, Under 1 Roof, Ladies N Gentlemen, Your mart, 4 both, Bargain.com, Shop N Win, On Time, Shop N Wear, Gifts 4 All, In Stock, Fashion Store, etc
“The most important thing in life is to learn how to give out love, and to let it come in." — Morrie Schwartz