No one is contesting the will, nor would they
- we have been living there for years and all
of the family knew 20+ years ago that we were
to inherit the home.
That's 100% irrelevant. It's what the will says that counts.
I have submitted the papers to probate the
Are you the executor?
Did you receive papers from the court acknowledging you as representative of the estate?
If you did, then those papers give you the power to sign a deed for the estate as grantor to you as grantee, and then record the deed. You might have to record your court papers along with the deed to support your authority to do the transfer but I don't know that for sure.
If somebody else in the family is the executor it's up to that person to do the transfer of ownership from the estate to you.