thehowlingroad

https://sagatravel.is/ This is the one I used. Make sure to use their contact form if you have questions, they seem more likely to respond that way than by direct email.

I got a response from them just last week, so they’re definitely still operating! If they’re not answering direct emails, try submitting your question through the contact form on their page. A lot of the Icelandic tour operators are smaller companies and only have 1-2 admin staff. I’ve never waited more than 48 hours for a response from any company, so I have a feeling that in your case, the email just slipped through the cracks. If you still don’t have any luck with IGT, Iceland Everywhere and Saga Tours are two other tour companies that I’ve been working with for our upcoming cruise and both have been really great.

@gnome12 dropped a link in the comment above, but if you're booking cruise-ship excursions, I emailed them at info@igtours.is and they were able to give me a full itinerary specific to my cruise, and offered a discount for booking more than one excursion with them.

I stayed with my parents at the Good Morning Copenhagen Star in 2018; it's not in either of your mentioned neighborhoods above, but you might be willing to consider it. We had a spacious corner triple, there was an elevator in the building, and the breakfast was very good. It's 2-3 blocks away from the central train station, 4 blocks from a Tivoli Gardens entrance, and there are supermarkets not too far away either. It's near some hostels, so you might encounter some drunk travelers on the sidewalks in the late evenings, but we didn't feel unsafe walking back late from Tivoli or from a quick trip to a supermarket. Connecting from the hotel to the port involved a light rail ride and then a bus transfer, but I found Copenhagen's public transit to be easily navigable, even with luggage, so I don't imagine you'd have a problem either.

Thanks for the resource! I'm going to add this to our roll call's website-- we have several passengers still looking for tours but the popular companies are all sold out.