To get a good flow of water without a loft tank, it is likely that you will need to run a new, larger water pipe out to the meter or stopcock under the pavement.
During your other building work is a good time to do it.
Two things you should do today:
Fill a bucket at the cold tap at your kitchen sink, time it, calculate litres per minute. Repeat the test at your garden tap and utility room tap if you have them. The maximum amount of water that the old water pipe delivers is the limit that you can get out of all your taps, showers, appliances and WC cisterns at any one time. Consider how long it will take to fill a 100 litre bath.
Ask your water supplier to test your drinking water for lead content. There might be a lead replacement subsidy, or they may provide free or cheaper connection of your new pipe.
If your old pipe is steel, it may well be corroded and leaking, another good reason for replacing it.
With two bathrooms, you would benefit from a new pipe in 32mm or 25mm plastic. You will be amazed at the improvement in flow.
You could have a big combi if you wanted, or an unvented cylinder which will give you unrivalled flow for baths and showers, and the best option.