An installer is unlikely to install anything they have not supplied themselves. There are also warranty implications of this, if the hardware stops working, it’s your problem not theirs as they didn’t supply it.
Most installers only offer 1-2 brands of 10+ on the market so it comes down to what they offer, not what we can recommend. Likewise, they are mostly a much of a muchness anyway.
If you want aircon the first step is to get some quotes and go from there. You are best off asking for recommendations for installers but London is pretty big so you might need to be more specific in east/west/north/south.