Answer: Mini-Pump in combination with a Track Pump. Read on for my experiences of 'Cyclaire' pumps...
I purchased a 'Cyclaire' portable pump as I genuinely believed it would be the answer to all of my puncture/tyre care problems. It came with a neat bag that I could use to carry it on the bike and worked perfectly.
However, on a day to day basis I carried a mini-pump and over time I forgot to dust off the 'Cyclaire' pump, to eventually never even think about taking it out for longer rides.
If I was on tour with a group then I might just dig it out as it does have a gauge and high pressures can be achieved. This could be useful to maintain tyre pressures 2+ weeks in to an 'expedition'.
As it is, I recommend a small plastic mini-pump for the road and a track pump for back home. The trick with the minipump is to get one where there are no extra gadget features, e.g. gauge, 2-way motion, telescopic barrel or any of that nonsense. These features can make the pump liable to rattle apart, rendering it useless when you need it. The simpler (but not necessarily cheaper) pump just keeps on giving. The portable pump only has to get you home, you can ride on 20 p.s.i. if that is all the minipump can give, back home you can then get the rest of it in effortlessly with a gauge to keep it correctly inflated.
Maybe the 'Cycleaire' strays from 'keep it simple', as does the CO2 cannister. A workshop compressor is nice, but, unless you work in a bike shop and need one on the whole time, then you have to faff with it and wait for its cylinder to charge. For that reason, stick with the track pump (with gauge) and plain-as-possible mini-pump for on the road. If you really want a 'Cyclaire' pump then find a suitable scenario - either the long tour or, if you commute, inside your desk drawer.