British House has rooms in main building as well as in apartments, which are not far from main building (100 meters away nearly). I stayed few times in main building rooms and in apartments as well.
my last stay was in apartment which was located at Gogebashvili street 44, at 6th floor. There are two bed rooms actually - one with king-bed, sofa and kitchen equipment (gas stove, microwave, cattle, etc), and the second, smaller room equipped with one single bed and desc. This is actually very comfortable for families. Rooms maintained clean and all equipment in good safe order. I had two nights very good sleep - beds are comfortable and it is normally very quite.
I found only the shower room little small and shower cabin is not well designed as could be, so when taking shower impossible to avoid spills outside of the cabin. But it's not a big issue, as there are foot towels available.
There is main gate to the apartment with combination lock. For breakfast one need to to walk down the street for 100 meters to the main building of hotel. Breakfast time is up to guest, just needed to inform reception what time you want to have it.
There are markets and eating places all around and in walking distance. I cannot find anything to complain on, maybe except the shower cabin))