First and Foremost, you will need a Proof of Funds, which will show the Paper Trail for your CASH.
And understand that you CASH will make the transaction a little easier and quicker, but it will not solve every problem:
You need to have your inspections; General, Roof, Pest, (whatever)
You will want to get your Home Insurance, although you won't have to put the Binder in the Escrow.
You will be collecting a lot of papers; DISCLOSURES, INSPECTIONS, ADVISORIES, HUD1, etc.
Your Realtor can fill in the blanks.
I just had a horrible thought; you surely don't believe that because you are paying CASH, that you do not need a Buyer's Agent, do you?
Who's protecting your rear?