tips on asphalt driveaway replacement?

It depends on a few things.
Asphalt done properly to "highway grade" is very very hard wearing, but domestic asphalt is often thin rubbish.
In the UK the asphalt is in many layers - 3 layers of asphalt alone, building up the wearing or surface course.
mac_build-up_layers.jpg

For your house you will probably get just the top 2 courses, in thinner layers too.

Concrete is way more hard wearing than typical domestic asphalt but will stain with leaves and can get slippery if on a slope.

You'd want at least 4" concrete with decent mesh reinforcement.