I haven't seen your store, so my response is assuming your prices are better, your store doesn't use or rely soly on PayPal and you drop ship as all other things being equal.
The best way for you to get consumers to buy from you is to build relationships with them. Engage consumers with surveys, on social media, be on the look out for users problems and reach to them, create surveys, track what parts of your website are users browsing more and or at what point are they leaving...

Offer dedicated discounts to consumers via Facebook groups. Etc. be creative and build a relationship of trust, friendliness and accessibility.
Also, create offers for referrals.