How do you go about making a terraced garden?

Mostly it depends on the area you live in. Some may require drainage paths so the water can seep through the levels. In other areas its not needed. Also you need to plan ahead as to what your going to be planting on them. All of that should be taken into account when you start planning. Also make a plan and put it on paper first. Then build a list of needed materials.

Visit google and put in terraced gardens. You need pictures and/or a landscaper.

This garden arrangement is not easy, probably because your property has too much of a slope.

You will have to spend a lot of money to do it properly, otherwise would be beyond your scope

Terraced gardens - A lovely addition to a sloped garden! Usually made with landscape timbers, stone, or boulders. The material depends on which look you prefer and the access to your site. Boulders require machinery but are excellent for bigger slopes and larger areas if readily available. Stacked stone is a lovely, high-end look and is good when budget isn't a factor, or if it's a small project you will enjoy doing yourself. With stone, the most important thing is to stagger the stones so the joints do not form a vertical line, and set each course back 1/4 - 1/2" behind the lower course to help provide stability.

Most homeowners opt for landscape timbers.

When installing timbers or stone, you will likely use a cut and fill method, where you remove material from below where you will install the wall, and add it above. You will need a footer base, which is a first course set down in the soil at least 8" for stability.

If you use timbers, you will need to be sure to install "deadmen", timbers that work as a horizontal anchor to keep your wall from falling forward over time under the pressure of the soil behind it. Don't skip this critical step. If it's a large area or will end up being over 3' tall, you may want to hire a pro, as drainage and retention get more difficult.

In any case, Good luck!