Parking in Pike Place (Seattle)?

So my fiance and I are looking to go downtown in Seattle (we'd prefer to stay in or near Pike Place) but we have no idea where we are going haha we know how to get downtown and we know how to get to Pike Place but we aren't fond of Pike Place itself quite yet. We'd like to park for a little longer than 2 hours (and we will be doing a lot of shopping so a transit isn't really an option, plus we have no idea what the scheduled bus hours are so....) I know it cuts down on fuel but where would be a great place to park for longer than 2 hours where we can remember where we parked? Preferrably somewhere near or in Pike Place? thanks guys!