if ti’s moving just a block why not hire a couple
burly guys from either a temp service or
a local hiring line.

Rent a pickup some furniture dollies and a
hand truck.

as for the washer/dryer, just do this.

look around in craigslist for someone moving out and selling
them, plan on staying 2 years, that means anything less then
720 gets you a cash savings, and with all these foreclosures,
you will see lots of washers/dryers for sale.