I was recently looking for a new flat in Berlin, and I didn't have the same type of problem the OP had, but once I had an interview, I had to make a decision on

I was recently looking for a new flat in Berlin, and I didn't have the same type of problem the OP had, but once I had an interview, I had to make a decision on whether I wanted the flat or not quite quickly. So I used a variant of the optimal strategy of the secretary problem[0]: Decided on a rough maximal number of flats I wanted to visit N, visit N/e flats without real intention of renting, to sample the market, and then take the first flat that is better than all of the previously viewed flats. Worked out remarkably well for me. [0] https://en.wikipedia.org/wiki/Secretary_problem https://en.wikipedia.org/wiki/Secretary_problem