BTW is there a way to know how many core units you currently have deployed?
To expand on what BiteNibbleChomp said, you can also try to open up the reserve units list (F8: 'Toggle Reserve List), at the top it will give numbers for units deployed and how many core slots are available. Maybe that will work as well?
Train transport
To comment on the movement rates and redeployment speed by train etc., I've been reading through a lot of info about this for a mod, so I can't resist sharing some info I dug up. Some divisions where moved from the Eastern Front to France during the war, but these were depleted units (below half strength) that had to be refitted. I've managed to dig up very detailed info on the journey of the 15th Infantry Division which was moved from Vyasma to the Bordeaux (Southwest of France) by train.
This was a fairly lightweight infantry unit, they did not take many horses/vehicles with them, and only moved most of the 6500 men and their personal weapons. Note that a full-strength division would have 17.000 men. BTW, one train was hit by partisans near Smolensk, a railroad mine caused more than a dozen casualties and some materiel losses.
It took a total of 20 trains, which left Vyasma 3 times a day, so it took a week to get everybody out of Vyasma. The first transport left on 28th April 1942, and the trains arrived at the destination in the period of the 5th - 14th May 1942. So it took 16 days for a half-strength light division while leaving most horses and vehicles behind. This was mid-1942 so the journey would have been relatively easy (no air attacks, decent infrastructure).
Sea transport
There is plenty of info on shipping units; the Germans moved part of a Panzer division from Patras (Greece) to Taranto (Italy), a distance of roughly 500km. Loading the ships started on 13th of May 1941, the first three ships with most of the units had arrived on 20 May 1941.
On a larger scale, the Allied convoys from New York/Halifax (Nova Scotia) to Liverpool took 15-18 days, but add to that the time to load/unload the ships, which was days or even weeks in harbours with poor facilities. I've seen an average unloading time of 'about 4 days' for a single 4000-ton cargo ship (the Allied 'Liberty Ship' could carry 10.000 tons).
You can see how this loading/unloading can add up quickly to the time needed, and harbours can only handle a limited number of ships at the same time. An example: Tripoli, the largest Italian port in Libya could handle 6 ships at the same time: so let's say a convoy of six average ships could be unloaded in a few days, but every extra ship would have to wait a long time. So calculating the time to ship a unit somewhere depends on a lot of factors. The time it takes to sail somewhere is easily estimated and fairly constant, but loading/unloading times can vary immensely.
On a personal note, I'm still busy with tweaking movement/terrain, but slowwwly

. I've added extra movement modes to test, I now have a total of 21 instead of the stock 13, and all seems fine. It really helps to distinguish some types better, but I need to better finetune some movement tables.