Hardening is not just strength of sunlight -- the plant also will need to acclimate to air movement and wind (indoor grown plants are weak -- another reason it will be difficult to transplant -- tomato vines are limp and kink easily or stiff and break easily -- they need support, period -- and taller plants are nearly impossible to support and transplant. Also to rain (and other precipitations) of varying strengths (accompanied by wind) and daily fluctuation of daytime in the sun temperature and overnight low temperature.
All while withstanding and resisting fungal, bacterial, and pest attacks. -- and weak/stressed plants are vulnerable to attack (actually releases pheromones and signals that attract pests).
Bottom -line, I think we are all saying don't start now but wait until at least after mid-February to sow seeds and start your seedlings for majority of your tomato plants. Don't start earlier unless you plan on planting in the ground earlier with adequate protection that will be sufficient for tomatoes in your area (remember, the ground temperature has significant influence, not just air temp.)
I would suggest that for now and during the winter, you might want to start practicing with 1/2 dozen or so plants -- get the hang of starting seeds and caring for the seedlings (tomato -- I realize you said you are experienced with other crops but every kind of plant has different needs), how and the rate at which they grow, etc. If you want to winter-grow something in your existing setup for the next couple of months, pick something other than tomatoes -- seriously, I've tried and there are easier crop to grow

(For example, if you grow peppers during the main season, mature peppers are easier to grow snd fruit in winter indoor conditions. OR if you have heat mats/sufficiently warm seed starting area (80's+) and heated growing area (mid-70's and up) with heat mats, you can try growing peppers, which respond to all the pruning you are talking about much more readily and in the way you seem to be expecting.)
...but maybe we are all under-estimating the growing setup you already have... ? You might have the necessary light and heat and air movement all ready to go, with needed head-room to grow tall plants -- in which case, you would be able to grow full sized tomato plants in large containers 10 gal+ per plant....
Right now this is the darkest time of the year and many plants will not grow well unless adequately supported/tricked with artificial light and warmth, but you could try. We are at full moon which according to some people is not the right time to sow tomato (and pepper) seeds.
And even if your tomato seeds sprouted in 3-5 days which is usually the earliest, unless you can keep them warm like imafan said, Big Beef will take 2-1/2 months from transplant (ideal summer conditions) or longer for first fruit. Once they start to bloom, you will need to encourage pollination -- I use an electric toothbrush.
If you try other varieties that I suggested, you will see the difference in the growth patterns. Indeterminate seedlings grow much taller faster, dwarfs are slower with shorter internodes, and micros even less.