For small parts like steps a tweezer hand tool would be best. I am using the tweezer tips from American Beauty in a homemade handle. I also used and old soldering pencil modified to accept gouging rods from the local welding supply. These are copper coated carbon rods. Much cheaper than getting them from American beauty.
If you have a post war ZW transformer you could try that first. I know one forum member who was able to do small parts with a 1033.
Ideal transformer would be high current, low voltage. 3-5 volts >30 amps. Maybe you could find one on eBay.
Google "homemade resistence soldering tool" you will get dozens of how to tips.
Pete