nice work machn, I am also going to do this. This is super for Lighting loads and SMPS powered units (PCs, Laptops, Chargers, TVs etc) except Fans and refrigerators etc.
If somebody is going to do this, be extremely cautious when connecting to the home installation. Isolate the mains supply and put a warning board. Also put a MCB (depending on the VA rating) on the output.
If transformer is too expensive you can even use a 24V, 2A SMPS (~400 LKR) along with buck converter module.(~150 LKR)
However you'll need to do a little different design if you consider DOD of the battery and the lifetime.
