The Victoria and Albert Museum started out in 1852 as a museum of manufactures, and was eventually remodelled into a museum showcasing creativity from all over the globe. Offering a changing program of exhibitions, the V&A Museum has many other things to get involved with such as courses (both in-person and online), lectures, talks and professional development opportunities.
The nearest Tube station is South Kensington. Accessible toilets are on site, and assistance dogs are welcome. The services offered include free Wi-Fi. More access information can be found on the website.
The same organisation also has a youth themed venue elsewhere in London.