No, you do not need a partner to join a WCS class.
Anything comfortable is just fine. Footwear should be smooth soles and low/flat heels. What you see in the videos is a good guide.
Haverstock School, Haverstock Hill
Chalk Farm, London
Capacity 80 people
EastonSwing are well established West Coast Swing company based in London but operate all over the country. Founded by Lee & Fabienne Easton who have been teaching and building the WCS community in the UK for 20 years.
West Coast Swing is a smooth, slotted, improvised swing dance, based in California and rooted in Jazz & Blues music. It's inclusive and diverse nature sees it's popularity increasing.