Asalaamu Alaikam,
Alhamdulilah that you have been guided to Islam. It is truly a blessing of Allah that you were not one of those with a veiled heart, who are blind to the beauty and message of Islam.
Now, I do not agree that you should hide your religion from your family. It is such a blessing that Allah has guided you to Islam, and you should not feel any shame or fear of people knowing. When we hide it from those who are closest to us, we are hiding something of great beauty from them. We may even be missing on a great chance to help them to see Islam as something wonderful and beautiful. In showing them Islam, you will be making dawah (invitation to Islam), and they may, with the guidance of Allah, accept Islam, inshAllah.
Brother, there are always the chances of being persecuted by friends, family, and the world as a whole, when we allow people to see that we are Muslim. I would be lying if I said that this was not a chance, or even a strong possibility. But, I want you to know something that is very important: whatever sufferings that you go through for the sake of Islam, Allah will reward you. We are all tested by Allah, and your sufferings would be a test. You should know that Allah will only test those whom He loves, so do not despair, or ever think that Allah doesn't love you (the concept does not hold up in Islam. Suffering is not equated to punishment).
You should be open about your new faith, and give people around you a chance to accept you. You may be worrying for nothing. Speak gently to your wife, and explain to her the true meaning of Islam. Let her see that you are a better person now that you are Muslim. The greatest dawah that we can do is to live Islam truly. We do not need to quote verses from the Quran, or start talking about how this is halal or haram. Just be a good person (a good Muslim), and show how much Islam has improved you.
If you are not already, you need to start praying 5 times a day. Explain to your wife what you are doing, and why. Start going to masjid (mosque), and again, explain to her the what and why. She is your wife, and should be your closest confidant. Do not shut her out from the most important thing in your life (your relationship with Allah and Islam). Make her a part of this.
Yes, rejection is possible, but as I stated earlier, know that every struggle is a test from Allah, and proof that He loves you. InshAllah, things will work out for you, and in a way that will be better than anything you could have ever imagined.
You are not alone in this world, brother. Know that you are now a member of a family that is 2.5 billion strong! This is why we call you "brother." You are not merely a "fellow Muslim," but you are our "brother." Anything that you need, you can come to us and ask us. Muslims help one another, because we are a family and a community (Ummah).
Be strong, and pray to Allah for ease in hardship. And, thank Allah for guiding you to the wonderful religion of Islam.
wasalaamz,
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