What is the best quick repair option for my iPad Pro cracked screen?

Make an appointment at the nearest Apple location to have your iPad evaluated for free.

Once the diagnostics are complete, the staff will explain your options.

Make a Genius Bar Reservation

Genius Bar Reservation and Apple Support Options - Apple

or iPad Repair and Service - Apple Support

For practical purposes, in lieu of repairing and returning your own iPad, Apple usually exchange the iPad for a renewed/refurbished iPad of the same model and specification. The cost of the exchange is the same as would otherwise be charged for repair. Unless you have benefit of an active AppleCare plan, an out-of-warranty repair while expensive will be somewhat less than the cost of a replacement iPad.

As for out-of-warranty repair costs, Apple offers a fixed-price price repair. You can verify eligibility and cost for your region/country here:

iPad Repair & Service - Apple Support

If you have an active AppleCare+ plan, the cost of repair is reduced to a small excess/deductible fee.

Whether you can have "quick" depends on where you are in the world, which we do not know. Service options vary with location, especially in countries that prohibit or limit the presence of foreign-owned companies.

For me in the U.S., battery service for a standard iPad with 128GB storage took six days door-to-door using Apple ship-in/mail-in option with my dropping of the iPad at a local retail UPS Store. Two days of that were weekend days.

The replacement iPad was perfect cosmetically and functionally and, although no longer getting iPadOS updates any more, remains in daliy use.

I started with the Apple service link LotusPilot provides.