That's not an outrageously difficult part to solder by modern standards. Anyone with a modicum of soldering experience should be able to tackle the job with the right technique and a little practice.
The preferred approach is simply to use a wide chisel tip soldering iron and plenty of flux to make all the joints in one pass, and if necessary clean up the area with desoldering wick. That's the traditional method for soldering fine-pitch SMD ICs and works remarkably well, as it relies on the wetting behaviour of the solder rather than any particular dexterity or skill. The solder won't wet to the body of the package, only to the pads, so any bridges between the pads will naturally be drawn away by capillary action. As long as the wires are neatly tinned it should all go quite smoothly. A search for "drag soldering" should yield lots more information, including a number of demonstrations on YouTube.
If necessary, a basic jig to hold the part and wires could be easily constructed using a small piece of dense hardwood and a scalpel. I'd probably just hold the cable and part in place with Blu Tack and align the wires with fine tweezers.