I only need a battery from the UK with a 3 pin plug
OK, let's get down to basics.
This is a standard 3-pin fused UK plug, designed for operation on a nominal 230V AC (Alternating Current) 50Hz supply at up to 13 Amps (depending on fuse rating)
This is a typical SLA battery, with a nominal rating of 12 Volts DC (Direct Current).
You cannot connect a 13A plug directly to a battery without a special charging circuit, which converts 230V AC to nominal 12V DC.
ive seen them some have multiple 3 pin plugs
I suspect what you're talking about is multiple 13A sockets.
You cannot connect a battery directly to the L and N terminals on the back of a 13A socket, without a special DC-to-AC inverter circuit.
This is a typical 300W solar panel on Amazon.co.uk:
This label shows the DC output of the panel is 27.9V at up to 11.8A (max in full sunlight).
You cannoty connect 27.6V from the solar panel directly to a 12V battery, without a special "buck" DC-to-DC converter circuit to drop the voltage.
I want it to have a UK 3-pin power socket to plug my laptop into it.
This is a generic laptop PSU with a 13A mains plug. Your PSU might be similar.
To power your laptop PSU, you need 230V AC. In a solar system, this comes from a DC-to-AC inverter, powered (typically) from a SLA battery.
To charge the battery, you need a DC-to-DC converter, to match the 27.6V DC output of a typical solar panel with the nominal 12V DC input of a SLA battery. You could use LiPO (Lithium) batteries with a different converter.
Unless you are familiar with designing, specifying and building electronic circuits, the easiest option is to buy a "Power Bank" which incorporates all three circuits, i.e.
1). A 27V to 12V DC-to-DC converter
2). A 12V Sealed Lead Acid battery
3). A DC-to-AC inverter with 230V outputs on 13A mains sockets.
Achieving all this for £20, seems unlikely to me.
A 12V 7Ahr battery on its own will set you back roughly £15. Then you'll need a DC-to-DC converter with at least 200W rating (preferably 300W). Finally you'll need a DC-to-AC inverter rated at 100W (preferably 150W).
If you do find a cheap battery bank/inverter for £50, don't be surprised if it goes bang, or it damages your laptop mains charger. There's a reason why Anker charge a massive £450 for their product.
I'd expect to pay at least £100 for a half-way decent power bank/inverter.
There's also battery life to consider. A small 12V 7Ahr battery will probably last only 1 hour driving a laptop at roughly 70W. For more time you'd need a bigger battery.