If you move ready unit from battlefield with Tidehunter to base, is the unit at base ready?

Yes, the unit will be at your base ready.

According to the general mechanics of moving units (supported by RiftJudge FAQ #8919 and RiftJudge FAQ #7979), units are moved/recalled in their current state. Unless an effect specifically instructs you to exhaust a unit as part of the move or as a penalty, it retains its state (Ready or Exhausted) upon arriving at the destination. Since moving a unit to your base (via a standard move or other effects) does not inherently cause exhaustion, a ready unit remains ready.