I removed a small handrail, for just three steps, as part of a project. I've never installed it before, but I think I have the jist of it. My question is that the landing at the bottom is concrete. The previous handrail had a shoe rail, I think it was called. I would like to mount each spindle individually, for it to be more stable, but i'm not sure how to do it on concrete. Any ideas?

 

Two ways to mount things to concrete come to mind. Anchors and concrete screws. Anchors are made of metal and the screw for them is a regular screw. You drill a hole just big enough for the anchor to fit into it and slightly deeper than the anchor is long. Then you hammer the anchor into the concrete till flush. Set your thing you want mounted over the anchor and screw it down to the anchor pulling the thing tight to the concrete.
With the concrete screws you drill the proper size hole for the screw, set the thing you want mounted over the hole and screw it down.
Rather the same thing only not putting anything in the hole to hold the screw. The concrete holds the screw. These are mostly called Tapcon screws. The maker is Tapcon.
Depending on what type material you are using for the railing which type anchor you use.
Wood would not work very well I don't think with you wanting to attach the spindles seperately. Some wrought iron handrails are made just that way. each spindle is mounted seperate and there is a cover that snaps in place to cover the screws and mounting plate.