Presuming there was a will, or revocable living trust, and that the share of the property was passed through to you — you will owe NO taxes on the amount you receive! Any taxes would be owed by the estate — and then only if the total estate were worth over $11 million!
So now you have “found money”! The question is what to do with this — once-in-a-lifetime — windfall. First, pay off all your credit card debt. Then, if you are working, open an IRA at Fidelity or Vanguard, where you can put in up to $ 6,000 (or $7,000 if you are age 50 or older) — if your income (single) is under $122,000. You MUST have income to make the contribution. Depending on your age, choose a conservative, equity-income fund, and then try to add to it ever year.
If there’s anything left over — save it in a money market account in a bank. You won’t earn much, but it will buy plenty of peace of mind. That’s what your mother would want for you!