It's easy, nothing to worry about.
If you have full UK passports then you get a visit visa at the Hatta border post stamped in your passport.
Cost RO6 per person.
The procedure at the border can be a little confusing as they are few signs to tell you what to do.
Here's the procedure:
Border procedure.
Dubai -> Muscat
Just after Hatta is the UAE Border Post.
IMPORTANT - Get a UAE exit stamp in your passport. Drive on.
Go through security checkpoint (Omani) and get form, keep it.
Drive to Oman Border Post (big building) and park the car.
Get visa form and and fill it in.
Fill in the Visa form and queue up again to get Omani entry stamp in your passport. Pay OMR6.
GCC residents only pay OMR3 per passport.
Back to the car and drive through passport control on the side of the building.
Drive on ~2kms and hand in your security pass that you got above.
Muscat -> Dubai
Arrive at Omani Border Post where you got the entry visa.
Just before you get there stop at small hut and get an exit pass for OMR2.
Drive up to where you get exit stamp in your passport, it’s on the side of the building.
They will stamp your passport and stamp your exit pass, keep it.
Drive on & you will eventually get another small hut where you hand in the exit pass.
Next stop is UAE Border Post. Get Entry stamp in your passport.
At the same window they will give you entry pass.
Drive to entry gate and hand in your entry pass and you’re done.
You must have car insurance that covers you in Oman, not all Dubai rental companies do this, but we know that Budget (amongst others) do it as a couple from Australia did this trip about 6 months ago. They sometimes check that you have insurance at the border and if you don't then you will be refused entry.
Are you driving to Muscat?
Matter of interest which forum did you get zero response on?
We have done this trip several times, it's very easy and driving in Oman is straight forward, relative to Dubai, which can be a bit of a nightmare.