Unfortunately, shipping to the UK is a whole different gether all to twist.
Basically - forget it, it's a nightmare.
Door-to-door shipping works really well, but for anything that weighs more than about 10kg, the price starts racking up something fierce. On top of whatever the port charges you for handling your shipment, you also have to pay VAT (20% of the entire cost, including shipping), and quite possibly an import duty as well (that's added before VAT as I understand it). VAT is the UK/EU equivalent of GST for you antipodeans. Finally, your shipment may well be rejected because whatever you've bought doesn't have a "CE" mark, which is a certification required by pretty much anything to be imported into Europe (well, any EU country).
It's possible - although unlikely - that the CE mark requirement will cease to be an issue post-Brexit, but since Brexit is likely to end up being "Bre-stay-in-sorta-kinda", I'd not hold my breath.