The Islamic museum is a polished gem. It is a beautiful building and very easy to walk around. A hush a calm atmosphere which is a welcome relief from the hustle and bustle of KL.
The exhibits include many artifices from the Silk Road. The ceramics , jewellery and miniature mosque models are particularly good.
The museum has a good Lebanese restaurant which is closed Mondays. It has an excellent shop and everything is reasonably priced.
If you wish for a cultured relaxed day then the Islamic museum will be your preferred destination.