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. We ask Allaah to exalt his mention as well as that of his family and all his companions.
First of all, we congratulate you for becoming a Muslim and we ask Allaah to make you firm and steadfast on His religion until the day you meet Him. Furthermore we ask Allaah to reward you for your zeal about your religion and for being keen on performing your duty towards your mother.
You have to know that migration from a non-Muslim country to a Muslim country differs according to circumstances and times. On one hand, migration might be obligatory in some cases and at particular times, but it could be desirable at some other cases and times. On the other hand, we are urged in Islam to be kind and dutiful to the parents even if they are non-Muslims. Allaah says (which means): {But if they endeavour to make you associate with Me that of which you have no knowledge, do not obey them but accompany them in [this] world with appropriate kindness.}[Qur'an 31:15]. Since a Muslim in a non-Muslim country is most likely exposed to be temped in his religion, especially in relation to the right of the children, then we see that it is more appropriate to preserve your religion by migrating.
Allaah knows best.