A razor system with a handle having a connection base with a housing mounting surface and a housing having a guard and a cap, at least one blade mounted to the housing between the guard and the cap, and an interconnect member. The handle having a handle mounting surface that magnetically engages the housing mounting surface securing the housing to the connection base during a shaving stroke. The interconnect member slidably engages the connection base in a direction generally transverse to a direction of a magnetic attraction force between the connection base and the interconnect member.