You should really read James Dyson's autobiography, "Against The Odds". He details the hell that the Hoover company put him through when he went to them in 1980 with his idea for a bagless cleaner. By the way, "The One" is already a name used by Hoover UK for their bagless cleaner with a filter in it.
To obtain a patent, an idea must be original (not 'prior art') so you'll have to do a patent search. I can point you in the right direction if you wish. It's EXPENSIVE to get a patent, and it has to be renewed every year (which costs money). You'll need to find a manufacturer to go into production with your idea if you ever want to see a dime out of it.
The Hoover Company no longer makes cleaners in America, except for the old style steam vac and the commerical cleaners. Regular Hoovers (like the Windtunnel) are made in Mexico and other Hoovers (like the Fusion) are made in China. Some Hoovers (like the Duros canister) are made by Sanyo and labeled a Hoover. Others, like the Hoover Electronic Bagless canister are made by LG in Korea and get a Hoover power nozzle as well as the Hoover name badge.
I once designed a bagless chamber for the Signature Series Air-Way, we called it the Air-Way Extreme. But the company (Air-Way) didn't want to give up the profit from bags. So my idea still sits on a shelf, waiting for the day when I win the lottery and buy the Air-Way factory from Steve.