This answer is somewhat incomplete as I don't have definitive conclusions about some parts of your question. Your question includes some very specific subquestions that may best be answered by contacting the investment companies you're considering.

1. I don't see any explicit statement of fees for TIAA-CREF either. I suggest you contact them and ask.

2. There is mention on the site of no-transaction-fee funds (NTF), but I wasn't able to find a list of such funds. Again, you might have to ask.

3. Vanguard also offers some non-Vanguard funds without transaction fees. If you go the Vanguard page on other mutual funds you can use the dropdown on the right to select other fund companies. Those with "NTF" by the name have no transaction fees.

4. Scottrade also offers NTF funds. You can use their screener and select "no load" and "no transaction fee" as some of your filters.

5. You are correct that you want to choose an option that will offer a good lineup of funds that you can buy without transaction fees. However, as the links above show, Vanguard and TIAA-CREF are not the only such options. My impression is that almost any firm that has their own funds will sell them (or at least some of them) to you without a transaction fee. Also, as shown above, many places will sell you other companies' funds for free too. You have plenty of options as far as free trades, so it really depends on what funds you like.

If you google for IRA providers you will find more than you can shake a stick at. If you're interested in low-cost index funds, Vanguard is pretty clearly the leader in that area as their entire business is built around that concept. TIAA-CREF is another option, as is Fideltiy (which you didn't mention), and innumerable others. Realistically, though, you probably don't need a gigantic lineup of funds. If you're juggling money between more than a handful of funds, your investment scheme is probably needlessly complex. The standard advice is to decide on a broad allocation of money into different asset classes (e.g., US stocks, US bonds, international stocks, international bonds), find a place that offers funds in those areas with low fees and forget about all the other funds.

This answer is somewhat incomplete as I don't have definitive conclusions about some parts of your question. Your question includes some very specific subquestions that may best be answered by contacting the investment companies you're considering.

1. I don't see any explicit statement of fees for TIAA-CREF either. I suggest you contact them and ask.

2. There is mention on the site of no-transaction-fee funds (NTF), but I wasn't able to find a list of such funds. Again, you might have to ask.

3. Vanguard also offers some non-Vanguard funds without transaction fees. If you go the Vanguard page on other mutual funds you can use the dropdown on the right to select other fund companies. Those with "NTF" by the name have no transaction fees.

4. Scottrade also offers NTF funds. You can use their screener and select "no load" and "no transaction fee" as some of your filters.

5. You are correct that you want to choose an option that will offer a good lineup of funds that you can buy without transaction fees. However, as the links above show, Vanguard and TIAA-CREF are not the only such options. My impression is that almost any firm that has their own funds will sell them (or at least some of them) to you without a transaction fee. Also, as shown above, many places will sell you other companies' funds for free too. You have plenty of options as far as free trades, so it really depends on what funds you like.

   If you google for IRA providers you will find more than you can shake a stick at. If you're interested in low-cost index funds, Vanguard is pretty clearly the leader in that area as their entire business is built around that concept. TIAA-CREF is another option, as is Fideltiy (which you didn't mention), and innumerable others. Realistically, though, you probably don't need a gigantic lineup of funds. If you're juggling money between more than a handful of funds, your investment scheme is probably needlessly complex. The standard advice is to decide on a broad allocation of money into different asset classes (e.g., US stocks, US bonds, international stocks, international bonds), find a place that offers funds in those areas with low fees and forget about all the other funds.