Wimbledon Library is conveniently located on the high street but more towards Wimbledon Hill away from hussle and bussle. It was opened in 1887 and the building has a very nice feel about it. It has recently undergone a bit of a refurbishment as previously it did look a little cramped in the main area.
The usual areas are all there with Non-fiction, fiction, reference. I have used it quite a bit for studying in. The study section is located at the back of the library and there are a fair number of desks. The newspapers are also in that area so it can get quite busy. The library is all on one floor and off to one side is the Internet section. If your a registered user you can get an hour a day on the internet. It obviously is fairly busy during peak time but the 1 hour limit helps.
I am not a parent but the library does have a good childrens section and often there are workshops happening for mothers and babies/kids. Another good thing is the library is on the Merton library website so you can search for books online and I believe they are adding online renewals. read more