I have a child that just went into the 3rd grade and the parish just did the evaluation they have Dyslexia and are ADHD. We pay for all needs. Can I file for a tax credit

[DoninGA]

There are no credits for a child with a disability.  

If the child was over the age 18, permanently and totally disabled, you could claim the child as a dependent under the Qualifying Child rules instead of the Qualifying Relative rules.
Your child is permanently and totally disabled if both of the following apply: The child cannot engage in any substantial gainful activity because of a physical or mental condition and a doctor determines the condition has lasted or can be expected to last at least a year or lead to death.

[Hal_Al]

There are two types of dependents, "Qualifying Children"(QC) and standard ("Qualifying Relative" in IRS parlance even though they don't have to actually be related). There is no income limit for a QC but there is an age limit, a relationship test and residence test. Only a QC qualifies a taxpayer for the Earned Income Credit and the Child Tax Credit. .

A dependent's disability only means that there is no longer an age limit for being claimed as a QC,

[xmasbaby0]

DISABLED CHILD

So sorry to hear about your child's learning disability.  There is not any extra tax benefit or deduction to saying that a child under age 13 is disabled on your Federal return.  If you have a disabled child over 12 and need to pay for childcare so you can work, saying the child is disabled can enable you to claim the childcare credit.  Or if the child is 19 or older, you can still claim the disabled child as your dependent.  Otherwise, it does not benefit you to claim that your child is disabled.  Your state tax laws may be different.

Of course, any medical expenses you are paying out of pocket should be entered in Medical Expenses in case you have met the threshold for claiming medical expenses as a deduction.