There are three main types of IRAs:
Traditional IRA: The contributions you make may be tax deductible. So instead of paying taxes now, you'll pay taxes on the money your IRA earns when you withdraw it. If you're in a lower tax bracket at that point, you'll pay taxes at a lower marginal income tax rate.
Roth IRA: You pay taxes now so that you don't have to pay tax on any of the profits earned between now and when you start withdrawing the money.
Rollover IRA: This type of IRA is a simple solution if you've got a 401(k) or other retirement plan from a past job, and you want to move the money without paying penalties. This is especially helpful if you have several 401(k)s. It gives you more options for how to invest your money, and helps keep things simple by consolidating them into one account.
There are also IRAs for self-employed people, small-business owners, and non-working people whose spouses contribute on their behalf.