My, personal opinion, after you’ve explained your worries - A definite NO to driving from Leeds to Manchester on M62 in winter, especially.
There are trains and the “assist” service is very helpful (according to friends). There are also coaches.
You haven’t mentioned whether you would be staying overnight but do think of this, even if going by train or coach.
It would be best if you could discuss possibilities with your son and mention your fears.
Govt announces Ukrainian style scheme to bring thousands more migrants to UK
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