Hi Sandra,
We were in London in March of this year and made a trek to Brick Lane to visit "Beigel Bakery" for a salt beef sandwich on a bagel. The shop is open 7 days a week, 24 hours a day and has been there for 40 years.
It was about a 10 minute walk from Aldgate East tube station to Brick Lane and then for us, another 10 minute walk through the Bengali neigborhood to the Jewish end. You can also get to Brick Lane from Shoreditch Station and Liverpool Street station - just depends on what line you're on.
There are plenty of curry restaurants to choose from. Check the menu if you want beer or wine with your menu as many are run by Muslims and they don't serve alcohol. Street signs are in English and Bengali.
Sunday market 6am to 1pm
Backyard Market and Upmarket, Sundays 10am-5pm
Brick Lane is constantly in a state of flux so be prepared for changes - very crowded and I've heard some tourists comment on the squalor of the area (not sure what they were expecting but my impression is they not what they saw). It's a great experience.
Have a great trip!