I have just done this for 6 weeks. I made a proper mini kitchen in a bedroom ( it was a flat ) as I couldnt bear to eat take away for 3 meals a day for 6 weeks. Or afford it for that matter.
Can’t you move your full sized fridge ? A mini fridge is useless except for keeping a couple of beers cold.
Buy a portable induction hob and check that you have some pans which are suitable.
Where are you going to wash dishes and get your water for cooking from ? I had to do this on the bathroom floor in a basin as we were also getting a new bathroom installed. This wasn’t fun.
Don’t think you can do this out a small corner of the lounge . Clear the room properly. Can you take out the old units yourself , cut up some of the old worktop and use to prepare food? Put down something to cover your living room carpets( dustsheets or old carpet ) and something to protect the walls behind your temporary units .
If you have a normal indication hob that you are removing from your old kitchen ( and not reusing ) you can set this and it’s unit up in you kitchen and use a normal ( not Cooker ) socket as long as you only use two rings.
Your electrician will be able to do this by disabling two rings .
It will take you a day to do all this but I promise it will be worth it. When you sit down to your spag Bol ( reheated from the fridge), pasta ( cooked on the induction hob) fresh salad and cold drink ( from Fridge) you will thank me.
Remember your project will take longer than the builders say it will.