I've got a dishwasher but its "unplumbed at present",my daughter is having it and I'm having an integrated one. Right now I'm thinking the old kitchen (now in a skip) wasn't so bad.
When my kitchen was being done, I used paper plates, paper cups, foil containers for cooking. Everything went in the bin. I did was the knives anf d forks in the bathroom sink though. I couldn't wash up, in the kitchen, for ten days.
It's awful, but well worth it for your new kitchen. Never been so happy to have a good old fashioned cooked dinner, once it's done. Best meal ever. My house looked like the kitchen has exploded, there was kitchen equipment everywhere.