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The long pipes will waste some water and gas, not too much.
First, if the water pressure is not enough, a booster pump can be installed on the water pipeline. >>>More
From the tee you talked about, each head must be equipped with a faucet control, and then you can turn on which one you want, and the hot water will be there.
In general, water heaters are installed in the kitchen.
If you are using an electric water heater, it is recommended to install it in the bathroom. >>>More
It may be that the pipes in your house are relatively long, and the pipes that go to the kitchen will have heat loss, and the temperature will be a little lower.
The central water heater is hot and can be connected to the bathroom so that it can be connected to the kitchen.