Just drain the old oil out of the pan. Let it drain a couple of days.
I doubt you are going to have any problems changing brands. The amount left in the car is insignificant.
Changing the weights is controversial. The 20w-50 was the recommendation for the Boss 351 from Ford. Don't forget it was natural oil at that point.
I think all you need to run is Mobil 1 10w-40. These engines were designed to run on strait 30 weight.
The changes you see in recommendations are for simplification for production/waranty reasons.
Full synthetic is so superior in wear and breakdown characteristics to natural oils, I don't even think the old terms apply anymore.
Like I said, this is controversial and others probably will disagree.
I will tell you I have been running Mobil 1 in all of my cars since about 1978. It really makes natural oils obsolete.
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