@psychopoesie @Remittancegirl You are welcome.
A bed like that usually has a peak demand of something around 330 W. When you look at UPS units it will show you a VA value. The UPS VA rating should be a minimum of 15% higher than the W rating of the device you are planning to power. In this example the UPS should be a 380 VA or more. You can safely choose a 500 VA version for this application.
So please check the Watt rating of the power supply of the bed first before selecting a UPS.