Easiest advice for dropshipping is to not look at products but to first look for a niche. After you find your niche, then it would be easy to find related products in that niche. If you first look for products that sell well, you're going about it in the wrong way. Sure, that method will work but you will spend hours and hours of researching WHAT to sell and not actually SELLING. This is pretty much true for nearly every internet marketing or physical product marketing approach. First, find a niche. Second, find a product to sell.
Where to Start:
I recommend that you start looking for a niche related to some activity that interests you. This is best because you typically have knowledge in that niche and can identify products in that niche that would probably sell well. Maybe in your spare time or on weekends, you are out camping or fishing. Outdoor activities are great niches for finding sellable products and there are many dropshippers that have numerous items for sale.
With the camping niche, you can sell tents, sleeping bags, hammocks, camp stoves, a compass, magnesium fire starters, etc. - the list is endless and there are "low-cost" items (less than $5 USD) that you can get started with "testing" out. I stress low-cost items when getting started so that there is less risk involved. With dropshipping, you and your reputation is on the line if there are any problems with shipping delays, defective or damaged merchandise, or issues with product quality. These problems can literally kill your sales overnight with just 1 bad review or 1 item lost in the mail.
When I say "testing", this phase often gets overlooked. There are high-quality and low-quality goods available from dropshippers. I recommend that you contact sellers (Alibaba, Aliexpress, DHGate, etc.) and ask them for samples or discounts for samples. I personally do this so that I get to inspect the quality of the goods that I'll be selling and so I can take my own pictures of the products. Your own pictures will make your product appear unique especially if there are other sellers with the same items for sale.
Now, it is time to decide how you want to sell the items. Will you be selling on eBay? Will you be selling on Amazon? Will you be selling on your own webstore? There is often plenty of competition regardless of what platform you choose to sell on so you will need to be creative if you plan to be successful. Personally, I recommend selling on both eBay and on Amazon. After making a few sales, you may wish to create an online webstore so that you can offer discounts to returning customers and eventually sell more products.