The easy way is to use perfboard, or maybe stripboard, they are inexpensive and make things easy.
You can also build it with no circuit board, and preparing the part before soldering the part is where most of the work is, not the soldering.
With many processes, the step before the step you are working on makes the biggest difference in the outcome of the step you are currently working on. In other words, If you are soldering parts together, how the parts are prepared are going to effect how well and how easy you can solder them, so if you want to do a good job soldering your parts, you need to start by doing a good job pereparing your parts.
Besides being stilled, you also may want to use tools and tricks to make difficult jobs easy. You can use dental tweezers and other tools to make preparing parts, and soldering part easier. You can also use things like tape, putty, or glue to hold things temporarily or permanently to make soldering or preparing easier. You can make jigs, or fixtures to prepare and terminate parts with consistently regular shapes. For instance, when building LED cubes, its important that the LEDs are evenly spaced, and the best way to get good results is to build a fixture to solder your LEDs with consistent, even spacing.
Electronic parts are usually soft metal, like copper or brass, and easily reformed into new shapes, but you can also use hard metals, like steel, if you need more structural strenth.
Typically, through hole type parts are going to be easier than surface mount.
For something like you are talking about , you might make it easier, to draw what you want on a piece of paper, tape the parts to that piece of paper as you prepare them, then solder them together, and untape it after its all together.