Let me clear up some stuff about the "Trans Siberian". And get some more practice useing this little computer.
The Trans Siberian is a train that goes from Moscow to Vladivostock. It covers over 9200km and 8 time zones.....I'm not taking that train.
The Trans Mongolian branches southfrom near Lake Baikal and goes through Mongolia to Beijing.
The Trans Manchurian train goes around Mongolia to Beijing. I'm also not taking either of these.
I might take part of the trip on one of these trains but it is more likely i will be taking local trains. All these lines have up to 20 trains per day and I will be booking as I go so I should be able to get something. I do know the bigger the number of the train (they go up to 900) the slower they are. The faster trains have lower numbers.
Really the Trans Siberian is a route not a train.