You shouldn't squeeze something that is growing. I'm pretty sure the growth will suffer in some way. I would advise buying a sports bra your size (don't go for smaller because you think it might make them more apparent), which should take care of the nipples. As for the rest, the only answer I know is huge clothes. Something that might make you look fat and thus pass your breasts off as gynecomastia, or just blur their appearance.
If you need more tips, you might want to ask some FTMs what they do/did to conceal their source of dysphoria when they couldn't/can't bind for a reason or the other. I'm sure they'd have much better tips than most of the girls here.