You seem to imply that the options are only cloudflare or your apartment. This simply isn't true: there are a plethora of companies that will lease you a dedicated box of some Us in one of their racks, as the sibling commenter replies. Alternatively, you can search for co-location services. Options range from 1U/2U co-location, to half rack units, to full racks, to dedicated areas of the datacentre ranging from cages to whole rooms (I've been in at least one datacentre where an entire room was under separate access control and leased to one customer only).
Usually datacentres are located quite strategically. For example the location of many datacentres in Zürich corresponds with two separate power supply grids that meet (so they can pull from both).
Some of the companies involved are resellers and don't actually operate the datacentres they use. Others actually do. Usually the service is more or less the same, from the point of view of renting a 1U, or co-locating one.
If you want reliability features of a datacentre, e.g. for your office services, but might move, you may find your local city surprising. In Manchester, UK, there's a large amount of dark fibre under the city (fibre that is laid, but not in use), owned by some of the DC companies. Sometimes you can connect your office to said datacentre via dedicated fibre.