What I did when replacing tanks was I kept the filter running on a 30L container while we set up the new tank (an all day affair).
2 Miles isn't far luckily, here's what I would do (and did, minus the transport).
Setup any large clean container thats water proof and transportable (aka you can pick it up with water in it), siphon the tank water into it, swap the filter onto it, then put the fish into it, he's not going to be happy either way. Clean out your tank or whatever you feel you need to do to get it ready for transport, don't bother keeping as much of the water as you can, it shouldn't be necessary.
Transport it and set it up at the new location while your filter is still running on your container at the current residence so your bio bacteria stays alive. 2 Miles away should mean you're on the same water supply, so same pH with the same decor/substrate etc, so I would fill your tank up once it's transported (don't forget to use a dechlorinator/ager like Seachem Prime!) and get the heaters running on it ASAP to get the heat to what your tank is currently set at, depending on how long you think this is going to take, sit and wait.
Once it's close, head back, unplug your filter and move the container with fish and filter to your car. If you're running canisters, just turn all the taps to off and keep the water in it, if you're running internals, sit them in the water, HoB's I'm not sure about, we like.. don't have them in Australia

. Filter obviously can't be run so you should basically just floor it to your new residence and get it running on the new tank as soon as possible and get water running through it. Even if there's no source of ammonia it will stay alive for plenty of time while you acclimatise your fish, but stale/sitting water in a filter can quickly kill your bacteria.
Drain half of the container water or however much you need to drain so that you have room to double or triple of whats already in the container with your fish for acclimatisation. For the half an hour or so that you'll be dripping water into the container, set up all of your decor/play with your genitals/whatever, and after the water volume in the container has doubled-tripled, net your fish, introduce without using the old water, and top up with new aged water.
Should be no problem, good luck!