Manhattan Style, while not Gangnam Style, is still really cool. My favorite way to build a circuit. You use little squares of either copper clad board, or buy them like I do.
You glue them down to a copper PCB board (Just a plain board)
You solder the part to the squares and to the ground of the board. It comes out great. And if you like, you can get close to laying it out just like the schematic.
Here is a link to see the results
I use an open source and free vector drawing-photo program called Krita.
It is a very complete graphics program. It's worth learning how to use it. I set the sizes and layout my setup first before I solder it up.
Here is a layout I am working on. The actual size of the board is 45mm wide x 25mm high
If you work in Vector mode, easy to move parts around, and easy to check your work before you solder.
Then it's really, really easy to solder up. It will be different in real life, but this will help a lot