No experience with the Lezyne floor pump but I had a Topeak Joe Blow and I hated it. It was always a battle to get the chuck seated properly on the valve without losing all the air and then it wanted to fight me on each downstroke of the pump. I'd have to re-seat the chuck several times before I got it exactly right. Plus it fell apart surprisingly quickly.
Not available at REI but I love the specialized air tool.