I would have them use a standard AIA form.
Break the billing in to multiple definitions as per the job/task and attribute a reasonable price to each totaling $80,000. Hold back 5% or 10% retainage per each definition until the job is complete 100%.
Standard billing should occur each month, or for smaller projects 2 times a month (1'st & 15'th).
AIA contracts don't meet California home improvement contract standards. I just went through this with a client who insisted on using one. I had to add all the required notices by hand. They're also a pain in the ass to use as you can only modify them on the AIA website.
I've never heard of "standard billing". My payment schedules are always landmark based. It's easy to assemble, easy for the client to understand, and easy to track.
Line item retainage may be used in commercial work, but I've never seen it used in residential remodeling/additions. It's generally just the finial ten percent due at completion.
In an aside to all of that, contractors get very suspicious of clients that are reluctant to pay promptly, and it will effect the pricing on future changes or upgrades. The idea being that if you're going to have to wait to get paid, you should be paid for waiting.