It may not matter, because the fact that you have the TRS pension may mean that you will not qualify for social security at all, or if you do that the amount will be much less than what you might expect. Let me explain.
If you will be receiving an annuity/pension payment from a retirement system where you did not pay Social Security taxes, you’ll be subject to the Windfall Elimination Provision (WEP). The WEP will reduce your Social Security benefit if you have fewer than 30 years of “substantial earnings” under Social Security. Substantial earnings are greater than those required to earn Social Security credits. To see what substantial earnings are by year see this link:
This is a very complex area of Social Security law, and therefore, I will point you to this excellent primer on the WEP:
Generally, if a person qualified for their non-social security pension after December 1, 1982, and they worked less than 20 years in a job where they paid social security taxes, then up to 1/2 of their non-social security pension benefit would be applied (deducted) against any expected Social Security benefit.
While you may not get much social security benefit, you probably would benefit by applying for it now because while your child is under 18, or in high school up to age 19, they will also be eligible for a child benefit equal to 50% of the monthly amount that you will receive from social security.
There is no retroactive effect on your social security benefit though. It will simply be decreased from the time you first take it because of your TRS pension.
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I wish you and yours the best in 2015,