You could buy or make some kind of a wooden armoire... it could be handy to store other things too!
Build a free standing broom closet for your mops and brooms too.
I built some cabinets, one of which houses our vacuum. Maybe you can get an idea by checking out what I did here: https://www.flippingtheflip.com/2017/06/first-floor-bathroom-cabinets-holy-cow.html?m=1
Can you add a partition to an existing coat closet?