my baby girl tends to pull all the earrings off her ears..are there any good options in earrings which cant be removed easily by babies?

You can try taking it out for a short period of time and putting back on occasionally (to prevent the holes from closing). After a few rounds (will be good if you could explain to her not to remove them when they are on), she will likely forget about them and keep them on. My cousin tried this with her daughter and it worked for her.