We had a great stay at Veronica's Shoreditch apartment. It is literally 30 seconds away from Brick Lane but it was still quiet enough (even on weekend nights) that we didn't have trouble sleeping. It's about a 4-5 minute walk to Boxpark and the Shoreditch Overground station.
The apartment had everything we needed to be comfortable and was safe and secure. We didn't cook a lot a but the kitchen was well equipped. It made for a pleasant stay during our 4 day stay in London.