Toyoko Inn is good and reliable, especially if you are familiar with their standards and procedures. Their check-in/check-out times are different from other hotels, so be sure to check in advance to make sure it works with your itinerary.
Onsite parking is 5,000 KRW, and it's good to check with the hotel in advance if it is available for the day.
The main reason I stay here when in Daegu is reliable access to charging for my vehicle. There is an electric car charging station (Charge B, slow charge) inside that can be used with a QR code billing system connected to Kakao Navi. It worked well for me, but very often there is a non-electric vehicle parked there. Once we got the owner to move, I had no problem charging my car.