In order to choose one IRA type over another, you must have a reason to believe that your tax rates will be different in the future.
A Traditional IRA is most appropriate for people who know their tax rate will be zero or in a very low tax bracket after retirement.
If you do not expect to withdraw from your IRA at retirement, then a Roth IRA is your best choice. Unlike the Traditional IRA, you are not required to make minimum withdrawals from your Roth IRA.
A Rollover IRA makes sense if you are transferring funds from your previous employer's 401(k) or 403(b). The purpose of this account is to maintain the tax-deferred status of those assets. There is no cap on the amount of money you can rollover or transfer, however, additional contributions cannot be made.