They are pin-to-pin, so pin 1 on the DIP is pin 1 on the SOIC. So if you match the dots up properly you can treat it just as if the part came in an 8-pin DIP with the same pin numbers.
It is not difficult to solder SOIC- the 0.05" (1.27mm) lead spacing is not much harder than soldering a DIP. If your eyes are not completely shot you don't need any aids, just relatively fine solder and tip.
I suggest soldering the chip first, then insert the headers into a breadboard you don't care too much about and then stick the board on and solder it. The breadboard holds the leads in proper alignment, but it also gets a lot of heat with this approach. The purpose in doing the chip first is to avoid having to navigate around the protruding header leads with your soldering iron tip.
For soldering the SOIC, tack the corners down first (first one then the other), then solder the rest of the leads, going over the corner joints afterward. Tacking one corner first allows you to recover easily if you get it a bit misaligned- just re-melt it and nudge the chip a bit. The second corner holds the chip while you solder the rest of the leads.