Joanandjoe. Before I ever make a bid on Priceline with the "name your own price" system (all reservations are blind, non-refundable, charged on the spot, so you have to be sure), I always go to
www.biddingfortravel.com to see what hotels are offered in what areas of the city, and what star-rating. If I would be happy with any of them, then I bid according to where I want to be, and the rating.
In the higher star ratings, as you can understand, most are American chains such as Marriott, Sheraton, Hilton, the Intercontinental Group, and many others. To get some of the higher star ratings, they must offer things you may not even want or need, like 24 hour room service, restaurants and bars on site, business services, whatever.
There are currently no hotels in Oslo that I see on that site, so likely not a good idea if you would risk being disappointed. My Norwegian Fjords trips have started in Iceland, and I think Copenhagen, both several years ago. I did my research on my on, on-line, and loved both hotels. Once you find a hotel you like, you google it, and find the best price. I just see no reason to book directly with the hotel when I can save by spending a little time searching if the result is substantially better, and the location the same.
Many times, I've been alerted to "deals" through this board from friends I am traveling with, who are on the same cruise.
I suggest you start by going to Trip Advisor, or googling "best Oslo Hotels" and go from there.