Where to park depends very much on which flat they send you to, otherwise it's a long old walk down midsummer and silbury boulevard. Parking is mostly free after 6pm but chargeable before then, be very careful which coloured zone your bay is in. Purple is the 50p an hour, red is much much more and you can go from a purple to red zone in a couple of bays. You can park for free in Sainsburys multi storey for up to 3 hours.
Prebook ahead if you're going so late as many of the girls go home before closing so the choice narrows quickly as the evening gets later. Do not underestimate how much traffic there is at rush hour on a Friday night in Milton Keynes, it can take you 30 minutes to get from the outskirts into the centre.