Giving lots of the seedlings away is a good thing. There are always "thinnings" from planting different types of seeds. We always plant more seeds than desired plants to insure we get enough plants. Most of the time the smaller, less vigorous thinnings are snipped off at ground level to insure the stronger ones are not crowded and that they get all the nutrition available in the soil. Once the seedlings get their first set of true leaves (tomato-looking leaves) it's best to gently transplant them from the tray into a large cup or pot (I use 16-20 ounce styrofoam cups). Since I plant my seeds directly into these cups I do not have to move the small seedlings to their individual cups but rather snip or dig up the seedlings that I do not want. Sometimes, if I decide I want more plants than I initially thought, I will transplant one of the thinned seedlings to another cup. But, when growing in a tray with many seedlings you need to transplant the desired seedlings to their own container. You might even want to put two seedlings in each container for "insurance" in case one dies....but be prepared soon to thin one of them out later.
Note: Always handle young seedlings by a leaf, not the stem. They can recover from a damaged leaf but if that fragile stem is damaged it pretty well dooms the seedling.
Don't worry about saving all of those seedlings...it'll drive you crazy trying to take care of all of them. Thin them down to maybe a couple of dozen plants. Watch those plants for two or three weeks and see which ones are growing the best....healthiest-looking, rich-green colors, stocky stems, etc.,. Not necessarily the tallest ones. Thin out by giving away or tossing the lesser plants until you're down to a dozen or so and pot these up to larger containers. These should be fairly big by then. You might try two of them in your greenhouse and the rest in containers (grow-bags?) outside...do an experiment to see which grows the best. You might even go a little crazy and build you a slightly larger "temporary" greenhouse out of small lumber and plastic sheeting to house three or four plants inside. Gardening is supposed to be fun...experimenting and trying new things are part of that!
You may very well get some tomatoes from one or two plants inside that greenhouse, but it will be very cramped. I would imagine that you will. A problem with tomatoes is disease, though I don't know if you have as bad a situation with tomato diseases where you live as I do here where I live. Tomato plants need good ventilation to help keep those diseases to a minimum...that's really not going to happen in the greenhouse unless. But, you can open the doors up a bit for some fresh air and who knows, you may end up making a good crop!
Just be aware of the limitations involved.
There is many a garden grown in buckets and pots. As long as the plants are planted in large containers in good soil, fed, and watered well then they produce nicely. You're biggest challenge is something you can't control...your climate. Any success that you have take as a victory, because it *will be one*!!!!
Something else to consider is smaller tomatoes. We all like big tomatoes but there is some really great tasting cherry tomatoes that grow on petite plants and would fit in your greenhouse nicely. I like ham and cheese sandwiches with mayo and spicy mustard with cherry tomatoes sliced in half and microwaved. Quiet tasty!!!!
BUT...your choice isn't necessarily a bad one. It appears to be a popular cultivar for your area. It is an early producing tomato, good disease resistance and being a height of 5-6 feet it might just be pruned into being happy in your greenhouse. According to what I'm reading those larger transplants in the growing bags should be going outside soon for "hardening off"...or maybe just opening the doors a bit. In a couple of more weeks it will be time for the large plants to be permanently outside (according to planting times I've seen for your area...use your own judgement on this.
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The reason I asked about Cardiff is that it appears to have the warmest temperatures of the area. With the low temperatures that you have I would think that disease will be at a minimum...unlike here in south Alabama where we can have weeks of 90F weather with days poking into the 100F's. My first year getting serious with gardening I had a 50-foot row (around 15 plants) of the prettiest tomato plants you'd want to see. They were rich green and grew out of the top of 5-foot tall tomato cages and down the sides....they were loaded with blooms and tomatoes. I did not get to eat a single tomato because E-V-E-R-Y S-I-N-G-L-E O-N-E R-O-T-T-E-D !!!!!!!!!!!!! No kiddin'! Every one of them rotted!!!!
They were all open-pollinated plants and "something" (disease) went through them. I switched to mostly hybrids the next year and though I had problems I still made a fantastic crop of tomatoes compared to the rotten year previously. We're all learning and will be until we lay our shovels and snips down. We'll win some and lose some, but we'll keep on keeping on. Chalk the losses up to education/learning and victories up as blessings! And build on those blessings!
Hang in there with it. I think you're going to make some tomatoes...seems like you've got the "stick-to-it" to make it happen!!!
Best wishes!
Ed
