That Lezyne pump you showed is a bit ungaining looking for carrying on a bike, but it would be easy to use than a traditional mini pump. Lezyne does make a great pump called the Road Drive, it has an eternal pull out air hose that stays hidden inside the pump, then that screws onto the valve stem then onto the pump. However that pump comes in 3 lengths, for ease of pumping get the largest size, the smaller sizes will make it more difficult to get up to proper tire PSI plus take a lot more strokes as the pump length gets smaller. Also Topeak makes a really fine pump called the RaceRocket HP which also has a hose stored internally. I own both and I can't really make a judgement call about which works best, I like them both. Also if you like the Lezyne you showed then consider the Topeak Road Morph G (the G means it has a built in psi gauge), this pump is like owning a mini floor pump and will easily get to whatever pressure you want, plus it's cheaper than the Lezyne, I also own that Road Morph G pump and it is the easiest of all the on bike pumps to use but like the Lezyne it is very large and ungainly.

I use the Road Morph G pump on my touring bike then throw in a mini as back up in my pannier. But the touring bike uses larger tires and using a mini to pump those tires up would take a lot of strokes so the Road Morph is faster and easier to use. The Road Morph is lot like the old school frame pumps but modernized to be what I call a half frame pump.