There are a tremendous number of options for containing your compost.
Some people choose to go binless, simply building a compost pile in a convenient spot on the ground.
And, of course, there are many commercial bins on the market. Each system has advantages and disadvantages that you should consider when making your choice. More important to the success of your efforts is taking care to provide the proper environmental conditions for composting. Many people, for instance, are very fond of low-cost, attractive units built out of wooden pallets that are free for the asking from local businesses. There is evidence to suggest that arsenic will leach into your compost if you use CCA lumber in the bin.