Moving in early August: when should I start packing and doing dishes?

[throwmeaway1111]

Also should I start washing my dishes now or wait until I’m unpacking?

[bowenw]

Do as much as you can before the actual move date to avoid a panic at the end.
Carefully label all the boxes so you know exactly what is in each one (and/or take a photo of the contents) so you don't have to open several boxes if you happen to need something. Also label the boxes for what room they are to be placed in at the new location.

[Staximus]

Start packing now, all the things you use the least first. Who the hell takes dirty dishes out of the sink and just packs them up?

[Staximus]

How long does it take to wash dirty dishes? 5 minutes

[throwmeaway1111]

They aren’t dirty, they’re brand new and I currently live with my parents so I don’t need to use them at the moment

[Staximus]

Well then you don’t need to wash them until you need to use them

[Calyptomaniac]

Presumably you still need them so at least save a few to keep using and pack the spare ones whenever you have time unless you'd just like to use paper plates for a month and a half.

[throwmeaway1111]

No I actually live with my parents and bought my own set so I can just use their stuff

[Iron_Man]

You do it first thing in the morning now.