Andrew,
Thanks for expressing an interest. I'm actually planning to make a website / blog just for this project, both the painting/wargaming side of it and the historical information I've managed to gather together.
Basically, to summarise the war….
After Charles the Bold died at the battle of Nancy in 1477, everyone was interested in marrying his daughter Mary, who was set to inherit the Burgundian territories. Louis XI in France in particular wanted her to marry his son (the later Charles VIII). Instead she married Maximilian, Archduke of Austria (and son/heir of Emperor Frederick). So Louis XI invaded / occupied all the Burgundian lands he felt belonged to France. Mary and Maximilian had to pull together what scarce resources they had to defend her inheritance. Most of Charles the Bold's army had been destroyed or dispersed (and some of his captains went over to the French), and Maximilian was famously penniless (his father didn't provide him much asistance), so things were tight. The 'burgundian' armies consisted of a mix of newly-raised Ordonnance companies, Flemish militias, border garrisons and the private forces of those nobles who remained loyal, and foreign mercenaries… all of whom they struggled to pay. Over time Maximilian relied more and more on German mercenaries. The Swiss also fought for both sides – first for Maximilian, and later for the French.
There was quite a lot of fighting from 1477 to 1479 both in the Low Counties and the Duchy and County of Burgundy. I'm particular interested in what was going on in the County – it was conquered, but the Prince of Orange switched sides from the French to the Burgundians and led a rebellion with the local nobility. Lots of towns and castles changed hands numerous times. In the Low Countries, the one major battle of the war was Guinegate in 1479 – Maximilian won, but completely failed to follow up his victory. Generally speaking, the French won more than they lost.
Mary died in 1482, and Maximilian subsequently had to contend with various rebellions against his rule (mostly in Flanders). It seems those loyal to the 'Burgundian' cause fought for Mary, and then their son Philip, but never had any particular loyalty to Maximilian himself.
The treaty of Arras in 1482 saw the French win vast territorial gains – it was actually negotiated on Maximilian's behalf by the Flemish, who held his son Philip…. Max had little say in it.
However Louis XI died the next year. For the next ten years Maximilian was able to win back much of what he had lost, and fighting along the borders seemed to continue sporadically. The new French king Charles VIII was more interested in what was happening in Brittany, and later his planned invasion of Italy. There were some interesting battles and sieges throughout the 1480s and into the 1490s though.
Charles VIII was going to marry Maximilian's daughter Margaret, and Maximilian was going to marry Anne of Brittany…. when Charles spurned Margaret and married Anne himself, Maximilian quite rightfully was able to claim back a lot of the territory he'd lost in 1482. This was confirmed in the Treaty of Senlis in 1493. At this time he also became King of the Romans / Emperor on the death of his father, and his son Philip was made Duke of Burgundy (which apparently kept the Flemish happy).