Welcome to gyne.org, gmp.
It appears that you have moderate to severe gynecomastia. Surgery is the only way to correct the problem. A combination of liposuction and excision of glandular tissue will be required. I would encourage you to get the surgery when financially able. You need to find a board certified plastic surgeon, preferably one who specializes in gynecomastia surgery.
Prior to having the surgery, however, it would be best to lose the weight you need to lose. Until then, you might try compression shirts, to see if they make the condition easier to deal with.