Techniques will vary with the type of airplane (light/heavy), installed equipment (antiskid brakes, thrust reversers, etc), and Operating Manual procedures. Also, there is no way for you to analyze and identify the type of hydroplaning you might encounter in real time.
On takeoff, hydroplaning should not be a factor except in a significant crosswind. Use normal crosswind techniques. If you think controlability will be a problem, don't take off!
On landing, there may be 2 significant factors that affect hydroplaning: crosswind and braking. Again, use standard crosswind techniques when applicable. Use the longest runway available and use charts for "poor" braking conditions if you think hydroplaning will be a problem. If landing distance is marginal, go somewhere else. If you encounter controllability problems on the runway due to hydroplaning, consider a rejected landing.
Use aerodynamic braking if allowed. If you have thrust reversers, use them to minimize wheel braking. If you have anti-skid brakes, use them, because they will work to minimize the effects of hydroplaning. If no anti-skid brakes, use them judiciously and release them if you start skidding.