There's a difference between simple 'solder suckers' and 'manual de-soldering pumps' which look like a soldering iron with a hollow tip which melts the solder, and has an inbuilt spring-loaded solder sucker. This enables one-hand operation to simultaneously melt the joint and suck up the molten solder.
The 'pump' part of the de-soldering tool can be detached for emptying and cleaning.
I don't know if that's what the original poster is actually after.
Maplin used to stock them - I bought one some years ago, see pics attached.
Farnel CPC stock them.
Cheap enough at £7.14 inc VAT, but plus P&P on orders below £20.00.
I've tried to post the URL but it won't work.
Google 'Desoldering Pump 230V - D01849' (40Watts) should find it.
Datasheet here:
https://www.farnell.com/datasheets/1595632.pdf
Might be cheaper overall from eBay - about £11.50 inc P&P from several suppliers:
https://www.ebay.co.uk/p/1643234426?iid=153922461374
Hope that's of interest.