Jens place fulfilled my needs (a place to sleep while in town for a work conference), and he and his girlfriend are both very nice and welcoming. The place itself is a trailer on their property, and while you definitely have your own space (bed, kitchen, bathroom etc) the big window in the trailer and it's proximity to the main house don't make it feel very private. Also, by virtue of being a trailer, you can hear everything going on around you outside, including people walking on the street, children playing in the neighboring lot, wind, leaves, etc. I recommend earplugs at night.
The neighborhood is really great (not touristy, which I liked a lot), but is not as accessible by public transit as other places I've stayed in CPH. Jens had eight bikes which he kindly lets his guests borrow, which is great. I was not comfortable biking in downtown CPH, so I would bike to a nearby metro stop, lock up my bike there, and then get downtown that way. It worked for me, and was a little less than a 30 minute process.
Unfortunately on my very last day my borrowed bike was stolen (I guess? I looked around the metro for it for an hour and literally checked every single bike in the parking area to no avail -- I can only assume it was stolen) even though I am certain I locked it. I told Jens about this, and offered him $100 for the bike (it was functional but definitely past its prime), and he asked for $250. I paid him. It's not like I could argue -- the bike was lost while in my care. At the same time, it left me feeling twice victimized, totally helpless, and really ick. I do not fault Jens for asking $250, but it's also not like I wrecked his bike or lost it on a drunken bender or anything. It was stolen. It's a sh*tty grey area and the whole thing left me feeling really horrible (guilt for the loss of the bike, helpless to do anything but meet his request for payment, in disbelief at my bad luck, plus an unexpected $250 financial hit). So if there are eight bikes when you go, then he's replaced the one that was stolen. If there are only seven then he hasn't. Fortunately he still has seven bikes.
I would not stay here again. It's not Jens fault (seriously he is a nice guy, even with the bike thing he was clearly not happy but he didn't verbally berate me or anything), but the entire combo of not feeling super private, being able to hear the world, and the unfortunate icky feeling left over from the bike incident (that is resurfacing as I write this review :( ) means I personally would just skip it and look elsewhere.