You can absolutely use websites like eBay and Etsy! Try listing some items and making a professional Facebook page for yourself with a link to your eBay/Etsy pages. Then share the information with friends and family and get them to spread the word to people they know. Also, make sure that you have detailed descriptions and multiple pictures with anything you list online. This will help your listing show up in keyword searches, and you are more likely to sell something if the buyer knows a lot about what they are looking at.
With drop shipping, you’re effectively partnering with a manufacturer or wholesaler to sell their products. This way, you don’t pay upfront costs to buy inventory, aren’t sitting on unsold items taking up expensive warehouse space, and don’t have to deal with shipping the products yourself. You simply create your site, fill it with drop shippable products, and drive in customers, with almost everything else done for you.