Movements in Judaism
Movements in Judaism differ based on approach to social participation of members, adapting social changes and method of learning/teaching.
For example traditional movements - chabad, orthodox, modern orthodox, masoreti etc. don't allow women to fully participate in religious and social life on the same level as men.
Movements originated secod half of the 19 century - reform/progressive/liberal and conservative even let women to be rabbis!
Despite of that all of the movements in Judaism are however based on the same texts and the same theology, so there is nothing strange in fact that in one family there are members of different movements at one Pesach table. This is actually most common situation nowadays!
Another example of a great pluralism in Judaism is the fact that in Israel conversions of reform/progressive/conservative movement are recognized as well as orthodox conversions. Actually every conversion case is processed independently, or through orthodox rabbinate (orthodox conversions) or through govermental (non-religious) institutions (non-orthodox conversions).
So where to go for Shabbat? If you are already a member of a synagogue, you will probably know. But if you are not familiar with the religion, please keep in mind that in an orthodox/chabad synagogue you may be asked to attend the service/prayers from a balcony or a special place for women - if you are a woman of course :) - and probably away from you husband/wife boyfriend/girlfriend or adult children of opposide gender.