There is a chance of travel delays on roads with some stranded vehicles and passengers, along with delayed or cancelled rail and air travel, the Met Office said.
Road users can expect difficult driving conditions and a risk of localised flooding.
Heavy rain is expected to affect parts of England and Wales on Sunday with the Met Office issuing yellow warnings, as up to 70mm is expected to fall in some areas.
Buses and trains may be cancelled and spray flooding could lead to difficult driving conditions and road closures.
Yellow warnings for snow are in place from 3am on Monday morning through midnight, bringing a risk of road closures and power failures.
Areas of north Pennines and Scottish borders over around 200m (650ft) look most at risk.
Rural communities are at risk of being cut off, mainly across the northern Pennines and Scottish Borders.
Power cuts could also occur, along with disruption to mobile phone coverage.
More than 100 flood alerts and seven flood warnings were in place across England on Easter Sunday.
Forecaster Helen Roberts said: “The main risk is rain, we have a number of warnings out at the moment, including a fairly large rain warning covering most of the country.
“It is going to cause problems for people travelling on Monday – there will be a lot of surface water on roads.
“Further north there is a snow risk overnight on Sunday with snow and sleet across the moors of England and hills and mountains of wales.”
The AA warned motorists to take extra care and said the Easter weekend is “likely to be one of the busiest on the roads in recent years”.
The UK has been hit by two cold snaps so far this year as two instalments of the Beast from the East brought unseasonably cold weather.
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Heavy snow last month caused motorists to get stuck for 17 or 18 hours as snow and high winds brought treacherous driving conditions.
April sees an average of 2.3 snow days each year in the UK.