How to build an additional concrete/cinder block wall in basement, where the crawl space and basement meet

The small basement in my house (built in 1932) has three concrete walls. The forth wall is comprised of vertical wood boards. Behind the boards is the crawl space for the rest of the house. The basement leaks when it rains, and we plan on adding a DIY drain system inside, all the way around the basement wall perimeter.

However, there needs to be a fourth wall constructed, since the wood slates are old, and there is just dirt behind them. A basement waterproofing company said that a “brick” wall would need to be constructed where the wood slates are so that there are four walls to our basement for a system.

Their price was quite expensive, so I’m looking to do it myself, but I know very little about building a wall in my basement. I have some limited experience building with concrete and bricks.

How should I go about building the wall? Bricks, cinder blocks? How far down should I dig to pour a footer for the wall to sit on? Any advice or resources are helpful!