Condolences.
What "process" are you referring to?
Have you had anything to do with court paperwork?
If yes, explain.
If no, you might not have to do anything further.
If your home was owned jointly with right of survivorship (read your deed) then it's automatically yours.
Any joint accounts are yours.
If you owned cars together there is probably a simple method of transferring them into your name at the DMV.
Personal property is all yours.
Virginia hasn't had an inheritance or estate tax in many years and the fed tax won't apply unless his estate was over something like $11,000,000.
If he had an IRA or 401(k) or some other qualified retirement plan you'll have to study up on how inherited accounts work so you don't get hit with a tax bill for a distribution you didn't have to make or was more than you had to. See Page 5 of the following IRS publication:
https://www.irs.gov/pub/irs-pdf/p590b.pdf
If I missed anything, feel free to continue posting.