I love my Vax:
Vax Blade 32V Cordless Vacuum Cleaner | VAX Official Website
I use the handheld vacuum with the brush, and it's great at removing hair from the fleece. It doesn't suck in the fleece unless I use the turbo mode. In my experience, handheld vacuums without a brush attached are more prone to sucking in the fleece, since a lot of their sucking power is concentrated in a relatively small nozzle (is nozzle the right noun? Sorry, hope this makes sense)