All of the roads in the immediate area are now double yellow lines with loading restriction kerb marks, so there is very little parking in the area, even for blue badge holders. There is no parking at all within the 50m walking distance they will ask you about if you have issues with mobility.
I do wonder if this city centre location was chosen specifically to catch people who claim to have mobility issues. For me personally I have to park in a car park and then get a taxi to their door. This adds to the frustration and journey time. The appointment letter now says 'we may pay for your taxi fare'.

You can be dropped off right outside in a loading bay if nothing is in it. The nearest bus stops are 50metres away. The nearest station is Moorfields 100metres on Merseyrail. Nearest mainline stations are Liverpool central and Liverpool lime street, both around 1/2 a mile away. There is plenty of on street parking if you have a blue badge, a bit less if you haven't. There are a couple of car parks within 500metres of the centre. Centre has wide doors, has a ramp, is contained on the ground floor. It is around 15 metres from the nearest drop off point to the reception. The consultation rooms are around 10 to 15 metres from the waiting room. Unlike stories I have read this centre looks as if it was purpose designed, and presents no real problems getting there or into.