One of the easiest ways to buy silver coins is by going online. In the past, I used to call my bullion dealer, or go down to their office in person to make my purchases. Now they have a website that is easy to use, and I can purchase silver or gold bullion with just a few mouse clicks at any time of the day or night.
Another option to buy silver online is eBay. You can find many different bullion coins there, and sometimes you can find silver coins listed at or below the current spot price of silver with no premium attached. You do have to exercise caution however, and review the profile and feedback regarding the seller. Sellers with little or no feedback may also be risky. Generally, you can be comfortable buying from a seller that has a healthy amount of feedback and satisfied customers.