There are a fair few stairs (schleps both up and down stairs) at Liverpool Street and at Paddington for the westbound Circle line trains.
If you have the time, take the number 205 bus towards Paddington from stop S on Liverpool Street (the road itself) - see the link below. It will take about 30-40 minutes to get from station to station but the maximum fare is 2 pounds cash, a pound if you use PAYG on Oyster.
Taxi fare from one station to the other could be about 25GBP, depending on time of day and day of the week.
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