Converting to islam

Hi, i have been wanting to convert to islam for a while now but I am unsure of the rules about covering with a hijab. Do I have to do it straight away after I accept the religion and is it a sin if I don't. I am an 23 years old orthodox Christian women married to Muslim men. I have read a few chapters from the quran and felt such a connection with it. I would say for the most time I like to cover by body as I don't like attracting others and feel much better this way. I am just unsure which way to take but if I convert and not cover my hair straight away this feels wrong, I will be able to learn to pray, fast during ramadan and dress modestly but I am.afraid the hijab will take me longer time. What's the best path for me...