I'm not sure what connotations you were going for with the word "hospice", but I'd really suggest choosing a different name.
Seems they're from Russia, so no native English speaker. Neither am I, and when I've first seen the site's name I've looked it up, found one of its possible meanings (backpackers' hostel) and liked the link to a vagrant.
But, yeah, anyway I would suggest changing the name. My first thought was of death, and it was really only a morbid fascination that caused me to click on the link.
/ˈhäspis/
Noun
A home providing care for the sick, esp. the terminally ill.
A lodging for travelers, esp. one run by a religious order.
A weird choice of name indeed
I realize that there is a sense of the word that's related to "vagrant". But when I do a Google search, every single result on the first page has to do with end of life care. It's just stunning that someone could possibly think this is a good idea.
Hospice is end of life care. Hospice is understanding that death is coming and approaching it painlessly, intentionally and hopefully as happily as possible. To get into hospice you must be certified by a doctor as being terminal, (generally) less than 6 months to live.
Hospice is about bringing a life to a close with as much dignity as the illness allows.
The people in that industry are amazing, magical individuals and I do not know how they have the strength and tenacity to face every day like they do (although their amusing brand of dark humor seems to help).
Seriously though -- why would you want your product associated with terminal end of life diagnosis and care?