I finally started having success recently with eBay, so I'm definitely no expert, but I'll try to pass on the little experience I've learned so far.. It's not very complicated; create an Ebay and Paypal account first. Make a list of things that you think would sell well and research them on Ebay.
RESEARCH
Use the advanced search and looked through completed listings. Anything that is GREEN, sold and it will show you how much they sold for; anything in RED did not sell. Look at all the different kind of keywords you can use and mix them around. See how many items that the seller sold and how often. If most items sold in your advanced search, you probably found a decent product. Click on the listing and it will show seller feedback and how many items that the seller sold for that given product. If the seller is consistently selling that item on a weekly basis (IE 10-20 items a week), than this might be a good product to research.
SUPPLIERS
Once you find a product thats looking good, you'll have to find somewhere to purchase it for considerably less than what their selling on Ebay for. Here's 3 chinese suppliers that will sell almost anything you can think of:
DHgate
Aliexpress
Tradetang
Type in your keyword for your product and see if you can find anything similar for a good price that you can make a profit on. Some words of caution, these sites are notorious for selling knock offs and replicas. They also sell clones that are not branded. It's up to you if you want to try and sell knockoffs.
Once you positive you found a profitable product, place a small bulk order on one of the suppliers sites, take a pic of your product once you get it and list it on Ebay. Once it sells your money will go into your Paypal account with a hold status. Ship your products with your tracking numbers. Once you build up some rep, Ebay will let you sell multiple items at once and remove your monthly sell limits.