Alpha particle is a heliumnucleus which is positive charged.
Beta particle is an electron which is negative charged.
Gamma ray has no charge.
Charged particle will be deflected by electric field by laws of electrostatic (like charges repel and unlike charges attract.
Charged particle will be deflected by magnetic field and you can determine the direction using FLHR. (Note that beta is negative charge, it is like electron flow which is opposite to convectional current.)