First, some background.
When I first started teaching, my mom told me to be sure I started saving for retirement. Being young and clueless, I asked her how much I should contribute. Considering her history of financial missteps, this was the wrong well to draw advice from. She told me, "Just do $120." So, I set it up as $120 a paycheck and promptly forgot about it. Turns out she meant $120 a month, which is even more of a pittance than my $120 times 22 paychecks (no pay during the summer).
I currently have two retirement accounts (both 403b, which is similar to a 401k but is what teachers in my state are offered). I was initially contributing to one, but was unhappy with the percentage returns (under 2%). I started with the second (better but still not great returns of like 3-5%). The returns are to my best recollection. I've got the statements in a box, but I have a broken foot and can't climb up to get them down right now.
I do not get any sort of match from my employer. So, there's really no advantage of using these accounts. Current combined balance of both accounts is about $33,192. I am still throwing $120 a pay to the new account.
I have $14,000 in savings. I was thinking of taking $10,000 and opening an index fund. But, would it be better to open an IRA (which one is tax advantaged again)? Should I maybe open the index fund, and use another couple grand to open an IRA also. Maybe max out the IRA each year, then throw everything over that to the index fund?
I feel like I have messed this up in the past and I have been frozen over the last week just trying to avoid making a mistake here. I have tried to include the relevant details here. If you need more information, please ask.
Note: I will be rebuilding the savings at about $300 a month to get it back to a point where I have several months of expenses in liquid funds. I have a mortgage that I am over-paying also (about 16% to 36% of my goal savings will be directed towards that). The APR on the mortgage is 3.25% and I have an annual 0.85% MI premium (FHA loan).