Phew, will 10 sqm make a difference?
Do you want to have a plan made by an architect? He should be able to roughly estimate where you’ll end up.
And yes, (good) 100,000 on top would be more realistic for the starting size. I don’t know exact prices for Ingolstadt, but the greater area is financially strong by nature and prices don’t drop that much just because you look for companies from "weaker" regions. Our tiler came from eastern Upper Bavaria/border of Lower Bavaria. It was about €1500 cheaper than the closer offer, but also very close to the limit in terms of travel time for what they do.