All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad is His Slave and Messenger.
First of all, we congratulate you for the favor of Islam that Allaah The Almighty has bestowed on you, and we ask Him to increase your faith, certitude and keenness on doing good. We advise you to seek, as much as you could, to do what helps you keep firm and avoid temptations, such as marriage. You should seek the aid of some of your righteous sisters, or your Muslim brothers who are in charge of Islamic organizations and Da‘wah centers to search for a righteous man to marry you, in order to help you in the matter of your religion.
As for maintaining kinship ties with your parents and relatives, through visits and all permissible ways that maintain kinship ties, this is permissible for you. Allaah The Almighty Says (what means): {Allaah does not Forbid you from those who do not fight you because of religion and do not expel you from your homes - from being righteous toward them and acting justly toward them. Indeed, Allaah loves those who act justly.}[Quran 60:8]
Furthermore, Al-Bukhari entitled in his Saheeh a chapter: “Maintaining kinship ties with the polytheistic parents”, under which he included the Hadeeth on the authority of Asmaa’ in which she said: "During the period of the treaty made by the Messenger of Allaah (with the disbelievers), my mother came to me desirous (of a gift from me), thereupon I asked the Messenger of Allaah : "Should I maintain kinship ties with her?" He said, “Yes.”
However, if you fear to be harmed in your religion from visiting them, then, it is impermissible for you to visit them, for the benefit of guarding your religion should be given priority over any other benefit. But, at the same time, you may maintain kinship ties with them through other means such as phone calls, sending gifts to them, etc.
On the other hand, it is impermissible for a Muslim to join the disbelievers in their festivities, as shown in Fatwa 89869. We have also previously clarified the ruling of prayer in a house having crosses and statues in Fatwa 88699, so refer to it.
As regards calling your parents or anyone of your relatives to Islam, this is among the greatest forms of kindness that you do to them. So, you may seek the aid of some audio and written material produced by Da‘wah centers; and you could also benefit from our website where we advise you to read Fataawa 124327, 86091, 88906 and 85234.
Allaah Knows best.