Adding my experience because I did this as a single mum with a three-year-old, which changes the calculation a lot.
I couldn't do the short-term-first approach for long, because moving a small child twice in two months felt worse than the risk of a flat that wasn't perfect. So I did a hybrid. I booked four weeks in a serviced apartment, and during the two months before the move I did video viewings every weekend. I asked each agent the same list of questions and kept notes in a spreadsheet, so I could compare them properly instead of relying on how nice the photos were.
What made the difference was asking for things the photos can't show: the walk to the nearest nursery, whether the street was busy at night, how long the hot water took, what the building's noise was like at dinner time. One agent refused to do a second video call and I dropped that flat immediately. I signed the lease in my second week in Porto, after one in-person viewing, and I'm still happy with it.
So Priya's thread is right, but if you have a small child, a short stay plus very organised remote viewings might be the more realistic version.