Options have legitimate uses as a way of hedging a bet, but in the hands of anyone but an expert they're gambling, not investing. They are EXTREMELY volatile compared to normal stocks, and are one of the best ways to lose your shirt in the stock market yet invented.
How options actually work is that you're negotiating a promise that, at some future date or range of dates, they will let you purchase some specific number of shares (call), or they will let you sell them that number of shares (put), at a price specified in the option contract. The price you pay (or are paid) to obtain that contract depends on what the option's seller thinks the stock is likely to be worth when it reaches that date. (Note that if you don't already own the shares needed to back up a put option, you're promising to pay whatever it takes to buy those shares so you can sell them at the agreed upon price.)
Note that by definition you're betting directly against experts, as opposed to a normal investment where you're usually trying to ride along with the experts. You are claiming that you can predict the future value of the stock better than they can, and that you will make a profit (on the difference between the value locked in by the option and the actual value at that time) which exceeds the cost of purchasing the option in the first place.
Let me say that again: the option's price will have been set based on an expert's opinion of what the stock is likely to do in that time. If they think that it's really likely to be up $10 per share when the option comes due (really unlikely for a $20 stock!!!), they will try to charge you almost $10 per share to purchase the option at the current price. "Almost" because you're giving them a guaranteed profit now and assuming all the risk. If they're less sure it will go up that much, you'll pay less for the option -- but again, you're giving them hard money now and betting that you can predict the probabilities better than they can.
Unless you have information that the experts don't have -- in which case you're probably committing insider trading -- this is a very hard bet to win. And it can be extremely misleading, since the price during the option period may cross back and forth over the "enough that you'll make a profit" line many times. Until you actually commit to exercising the option or not, that's all imaginary money which may vanish the next minute.
Unless you are willing and able to invest pro-level resources in this, you'd probably get better odds in Atlantic City, and definitely get better odds in Las Vegas.
If you don't see the sucker at the poker table, he's sitting in your seat. And betting against the guy who designed and is running the game is usually Not a Good Idea.