Lezyne valve core mini pump alternative

[EddieV]

I own a Lezyne mini pump that screws onto the valve core (similar to the video below but without the valve core tensioner) 

... it frustrates me when I unscrew the hoze and the valve core comes out with it.

Is there any similar mini pumps out there, with a flexible hose that doesn't screw onto the valve core? 

or

What other quality mini pump can I purchace alternatively, to carry on the bike during out rides, that won't split/fail on first use? 🙃