I am usually always in favor of keeping the west side clear, but with these two properties, I would seriously consider placing the garage west of the house and positioning the house more on the east plot. Possibly provide a roof terrace on the garage (instead of the balcony). The garage then less deep (6m) but very wide (8-9m), so that 2 cars + bicycles fit inside.
We also have a door from the garage to a utility room (not technical, but cloakroom, shoe cabinet, laundry room) which we use very often, as planned with you. But our main entrance is right next to it and it is only 1m from the front door to the utility room door. With a detour through the kitchen/dining room, that definitely wouldn’t work. Something is always "missing" then...