Hi. This power supply is strictly through-hole. The SMD quip was about a practice board I bought because I am also refurbing a 1968 Magnavox console and adding a bluetooth board that has SMD on it, so I wanted to practice.I never go below 0805, and I use the 'hand-soldered' footprints in KiCAD. Unless you have a real need for super-miniaturization there no need and you're just making a rod for your own back. I'd avoid putting HV AC on the board, though the LV secondary input should be OK. Personally for this project I'd stick with through-hole parts, there not much space-saving needed, the regulators are leaded anyway as will be the 10k capacitors, and they're typically 30mm dia. You should have no difficulty fitting this on a PCB 80 x 60 with just THT parts. Heatsinks will be your limiting factor.
You definitely should use a ground plane. Convention puts it on the back but it doesn't have to be. You could have it on the front as well, as long as they are well stitched together. The layout for this will follow the schematic and there are relatively few tracks needed. I'd keep the tracks all the same width, there's no real need to go below 1.5mm, and that's good for at least 3A.
Did you chose a transformer yet? and heat-sinks? Also think about getting on and off the board - direct wire-to-board (not recommended), push-on connectors, screw terminals, etc?
As for the board, I am doing a ground plane along the back, and using fat traces for all other nets. Heat sink is 2 of this:

So I think that this will do a great job of dissipating the heat out of TO-220 packages. I'm leaving some space between components as well.
Thanks!

