Hill Road Car Park is listed as a park in Lower Hutt, with a Google rating of 4.7.
A car park beside a park or track is worth choosing for a few practical reasons: how close it is to where you want to go, whether the surface is sealed and well lit, and whether it feels safe to leave a car for a few hours. Regulars know to arrive early on fine weekends, when spaces near popular tracks fill up, and never to leave valuables in view, since car parks at trailheads are a known target for opportunist thieves. Lock the car, take your phone and wallet with you, and note which track you plan to take. Check signs for time limits before you leave the car for long, and bring water and a spare layer if you plan to walk.
For people in Lower Hutt, Hill Road Car Park is a well-rated spot to start from.