Just returned from Nairobi and spent three nights at the Country Lodge Hotel, which is part of, and adjacent to, the Fairview Hotel.
I can highly recommend it. It is new, quiet, very clean and modern, small and friendly. It is primarily a business hotel, so it does not have any restaurant service except for breakfast. It also does not have a bar. However the Fairview is adjacent which has a number of eating options and bars.
The hotel has a good web site and can be booked online.
Highly recommend it!