Here is a simple break down:
Copyright - Original works of authorship fixed in any tangible medium of expression. Tangible being a very inclusive term (basically anything that can communicate the work is tangible). Basically to for copyright to be valid it just needs to be original. Words and short phrases are not copyrightable. No need to register but it helps
Patent - Any new and useful process, machine, manufacture, or composition of matter, or any new and useful improvement. This one is the most protective, but shortest right (still 20 years). This one will can trump copyright at times, so if you make something useful and artistic (like a cool looking bike rack) you may be able to only get a patent if it is more useful than artistic. Have to register to get protection
Trademark - This is actually a general term that includes trademarks, service marks, certification marks, collective marks, and trade dress. These include any word, name, symbol, or device, or any combination that you use with a bona fide intent to use it in commerce. Have to register to get protection.