I'm afraid the most memorable thing about the trip were the prices.
Let's start with transport. I took a long time to research to what extent you can use public transport to get around the islands. There are few places you can visit and return on the same day. If you want to visit more than one place in a day and return, you have to spend a lot of time researching. And I'm talking regardless of whether these are places you actually want to visit. (This is not a complaint. I fully understand that you can't have busses go frequently in a place with a population of 55000 people.)
The next issue with public transport is a lack of information and a terrible level of reliability. When you check the schedule online, most places seem to have only one bus stop. There is no map that shows where the bus stops are. But even the small town of Sandavagur, which I spent the first days in, had at least 3 bus stops. And there are no schedules at the bus stop. So you have to wonder which bus stop the time, that is shown on the online schedule, corresponds to. Then I thought, well, it takes the bus 3 minutes max. from the first to the last stop. If I'm at a bus stop 15 minutes before the time shown on the online schedule, I should be fine, regardless of which bus stop is meant on the online schedule. I was at the main road 17 minutes before departure and 2 minutes away from the bus stop and the bus drive past me, so it was 15 minutes early. And I heard the same story from other travellers. The customer service of the public transport company is no help. I sent them messages on 4 different occasions and topics. I only received one useful answer, the rest was more or less "check the website". Their schedules are not easy to read because there are many asterisks (e.g. some busses only operate upon request) and at least once it seemed that contradictory conditions applied.
While we're on the subject of customer service, I made this experience with other companies too. I wanted to do a hike that requires a guide and tried all communication channels that hiking.fo offers but never received an answer. Same thing when I tried to book a Spa visit at Foroya Hotel in Torshavn.
Going back to the transport issue, It became clear that without a car, you will either spend several days visiting only one destination each or you have to hitchhike.
So I looked into rental cars. (This was when I planned the trip, not after I made the above mentioned experience. So it was early enough to hope for reasonable prices.) Prices start at 150€/day (without full insurance) and that is only when you take a small car and don't need anything specific. If you need a bigger car or the small ones are not available anymore, you may have to pay 200€+ per day. Anywhere else that I've been the prices were around 50€/day. One thing that bothered me with the rental is that the deposit you have to make is paid right away. In other places the credit card is charged and the deposit is "blocked/reserved" and released again when you return the car without damage. In this case the deposit was paid immediately and later paid back by the rental company. The problem with that is that the deposit was 1000€ and I have to pay 1,75% when I use the credit card in another country. So I basically lost 17,50€ for nothing. In the end I got a rental for 2 days only.
I had a late flight and arrived too late to catch the last bus to my accomodation. The taxi drivers know the bus schedules and charge you accordingly. For a 6 minute drive I had to pay 36€, easily 3 times what I'd pay for a cab at home.
To be continued...