OP,
First off, my condolences for your loss. It is exceptionally difficult to lose a parent.
Regarding your inheritance, almost all of my advice has been offered earlier in this thread. Nonetheless, here is what I would do:
1) Be sure to account for the taxes you will owe on your inheritance. Consult a tax professional, and then set aside enough money to cover your tax liability at the end of the tax year.
2) Pay off all of your credit cards. Leave the HELOC and car loan.
3) Establish or augment you emergency fund. This should be a cash savings account containing at least 3 months worth expenses.
4) If you have money remaining, open an account with Vanguard. Start with an IRA if you don't already have one, and fund it up to the max annual contribution. Put the money into the S&P 500 index fund, and then forget about it for the next 20-30 years.
5) Draw up a budget that allows you to consistently contribute at least $500 per month to savings. Set you accounts to auto-debit $500 from checking into your savings and/or investment accounts at the beginning of the month (build you emergency fund until you have 3 months expenses in it, then send the rest to your Vanguard account). Stick to your budget. The interest savings realized by paying off your credit card debt should cover a good chunk of this.
Good luck. Follow this basic plan and you will achieve financial independence by retirement age.