Car power inverter

You can get all sorts of things to pump up an air bed,  A stand alone usb rechargeable unit, a 12v pump that runs from the lighter socket, a mini compressor that'll work with tool batteries eg Ryobi. Inverter seems like an unnecessary step.

I use a foot pump for airbeds and an upright pump from Decathlon for my kayak. No electricity required!

https://www.halfords.com/camping/airbeds-and-sleeping-mats/halfords-240v-12v-leisure-inflator-290251.html?istCompanyId=b8708c57-7a02-4cf6-b2c0-dc36b54a327e&istFeedId=367c5610-f937-4c81-8609-f84582324cd6&istItemId=xmiwqltmp&istBid=t&&_$ja=tsid:%7Ccid:17253532456%7Cagid:%7Ctid:%7Ccrid:%7Cnw:x%7Crnd:4523192634880599505%7Cdvc:c%7Cadp:%7Cmt:%7Cloc:1006559&gad_source=1&gbraid=0AAAAADrJx6yYM7xriq5zDCaVfheeWh-Ws&gclid=Cj0KCQjwwae1BhC_ARIsAK4JfryTw7eYaXy-KzWjKffxaaj50F10FT8Wh3ukbtVW4KOtnyVp5UyTCroaAgMLEALw_wcB&gclsrc=aw.ds

If its just an airbed this is all you'll need

One of those large volume low pressure pumps that kitesurfers and foilboarders use. It wont break and your car battery wont go flat!

Lidl had the Mistral SUP pump recently, my local store still has them. Works off 12v, has fittings for most things, were £30.

Else most of those cheap little mains pumps only need 50W or so, so any of the cheap 12v inverters would do.