Tools include the use of lots of paralegals, document binders and bates stamping.
Actually, the parties have no duty to write to the court to clarify what they found. What ends up happening is that they use the discovery evidence to build their case for trial - to craft depositions, prepare for direct/cross examination of witnesses and present to the court and jury why their side should prevail over the other.
Its alot of work and alot of thought must go into it to build a strong case as well as to defend against your adversaries.
Lawyers in these cases usually don't tack on a percentage of settlement (though that tactic is employed by many big M&A law firms, such as Wachtell), they usually charge by the hour - and some of these bankruptcy attorneys have rates approximating $1,000/hour, which is just ridiculous.