If I were a tourist in Bratislava, I would definitely like to visit this spot. slávica is a unique local design shop located in the pedestrian zone of old city. For a few years the shop was hard to find, being situated on the 4th floor of KC Dunaj, but from the 18th of May 2015 they have a nice gallery space on Laurinská street. Among others slowatch (bike concept store) and kompot (local tees) attract visitors and locals too.
The shop is run by the very kind owner Ivica. She will give you tips on where to go and what to see, do not hesitate to ask her.
Everybody likes presents. So buy something for your friends, brothers and sisters or for yourself. Just to remember you have been to Bratislava. Almost everything is handmade in Slovakia. There are local brands from local designers and artists, you can find clothes, bags, notebooks, shoes, wallets, books, porcelain, jewellery, ceramics, accessories and much more.
Support locals, go there rather than to a shopping mall :-). At least you can have a break and drink coffee. Enjoy!