Vegetable gardens are not something I'd recommend for a front yard, street side planting. They seldom have much aesthetic appeal, often look quite messy and typically require protection from insect pests and animal marauders. And they often do not exist at all for 4-6 months of the year, perhaps longer. Curb appeal factor is a negative, not a plus :-)

The simplest approach is to use a groundcover, preferably evergreen, for the sloped portion and remove the grass and replace with gravel or crushed rock at the street to accommodate parking. Or some combination of low growing shrubby material and some flowering perennials.

Make sure the pathway from street to entry is generously sized - at least 4-5' wide.

Here’s a closer picture of the house. Also interested in foundation planting suggestions, or if we should integrate a walkway from driveway to front door?

Since you don't have exposed foundations you don't necessarily need to plant a lot of stuff immediately in front of the house. You do of course need to install a paved walkway instead of having it so that everyone has to walk on grass or dirt(?) to get to the doors.

People parking on the street can walk up the drive and then come over to the doors from a walkway paralleling the front of the house. So you don't necessarily need to have a separate walk that connects the main door directly to the visitor parking area.

Your front slope screams for a well built stone retaining wall. That alone will be instant street appeal. A retaining wall will clearly define a parking strip that could be grass or gravel depending on the amount of use and site conditions. Any plantings above the wall would take maintaining the view and further street appeal into consideration.