Let me elaborate. I use the same screwdriver or chisel tip for the large wires on the top as I use to solder every thing on the bottom, with the exception of the bias transistor. For the bias transistor and those tiny delicate traces I use a long thin tip.
For everything else on top other than the larger wires, I use a long thin tip. A long thin tip allows me to get to the target area without touching components, and has low thermal mass at the tip so nothing will get overheated.
Quite often there is solder there, it just need a little flux to flow. I touch solder to it, I can see the flux flow, and add a little solder if needed for the nice meniscus as Joe calls it, or fillet as I call it. I call it a fillet because I used to bronze weld or fillet braze bicycle frames long ago.
You want that nice shiny, sloping solder shape on both sides of the board. Then take your flush cutters and cut most of it off on the bottom side!!!
Double sided, through plated boards are great, especially the heavy quality boards Joe provides in the kits. But I'll never rely on a through plated hole soldered on one side only to carry the load. I want a wire or component lead through that hole and a shiny meniscus on both sides. Have fun!