I've been using one of these without any issue, and it doesn't get warm.
Masterplug 13A Weatherproof Garden Tidy Extension Lead - 15m
www.wickes.co.uk
But I always spray the pins of the mains plugs (extension and granny) with this
Order online at Screwfix.com. Quick-drying, non-conductive spray. Easily cleans oil, dirt, flux residue and condensation from sensitive electronics and electrical equipment. Improves electrical contact in cars in damp conditions. Simply spray on and allow the product to dry before powering up...
www.screwfix.com
It tends to be dirty contacts causing resistance that get warm!