If you're paying rent, it is expected that a dishwasher is included in the cost of your rent. If it's not, you need to find a place that provides basic appliances. It is the landlord's responsibility to provide a dishwasher, not yours.

If you're paying rent, you'd think the unit would just come with the kitchen basics.

Do you have a refrigerator, at least? A stove? Or is your landlord making you use a shared root cellar and chimney fire?