I opened two traditional IRA accounts at Schwab.com for myself and my husband, respectively. The online account opening process is simple and efficient. But funding can not be performed right away, it seems to me that It'll need a few business days for the broker to complete its onboarding procedures before I can actually fund the accounts.
I had a Roth IRA account that I opened when I was a student. I plan to fund my traditional IRA account by after-tax $$$ and roll the fund over to my Roth IRA account prior to April 18th, 2016, the deadline.
My husband does not own a Roth IRA account. I would convert his newly opened traditional IRA account to a Roth IRA account right after I fund the account by after-tax $$$.
Good luck!