I am a new grad also, working since June on a surgical floor. On the 'do I need to start on the floor' question, I'm of two minds: first, that yes, we can start anywhere and learn to adapt to that specialty, particularly if that's what you plan on doing long-term. Having said that, especially because you mention home health, I'm hesitant to recommend a new grad begin in the field without any foundation of skills and knowledge.
Does it happen? Sure. Is it safe? Not as sure.
In home health, you do really need strong assessment skills and intuition to see what's happening with your patient without any second pair of eyes or ears. You'll be responsible for administering drugs, setting up vacs, treating wounds and providing teaching in the home environment, sometimes for conditions, meds and equipment you've never heard of or set eyes on. You're going to have to problem solve complications and equipment follies without another pair of hands, with your patient there waiting and watching, needing you to resolve the issue now. If that's not pressure, I'm not sure what is. Your agency should provide a preceptorship and backup by phone, but it's an awful fine line to walk to take that much responsibility without the experience to back it up.
If it's what you want to do, go for it, but I'd personally be wary of jumping in unless the opportunity really provided a supportive environment and extended orientation. Just my
Best of luck!