On Sunday, 2 August 2020 10:07:22 UTC+1, Jeff Layman wrote:
We have three steps up to our front door. These are 8" high (vertical
brick) and can be awkward for those who are less mobile. I have been
thinking of putting in a handrail

If you are uncertain the brick will take the full tug load of an adult, I would put in double right-angle 'Z' brackets at the base of the handrail so you can drill through into both the vertical long side of the brick, and the horizontal surface of the step below / to the side. Then weld or bolt the upright to the brackets.

http://wiki.diyfaq.org.uk/images/4/45/Handrail.jpg

Owain