i personally prefer shade to sun, but i'm not a plant

This year is now officially the year I gave up trying to grow tomatoes in our backyard garden. It's kind of a bummer. They grew fine for the first few seasons after we moved in, but a couple of nearby trees have now grown large enough that they more or less shade the garden 24 hours a day. And from what I understand, 24-hour shade does not necessarily promote robust tomato growth. Stupid shade.
Before I totally throw in the tomato towel, however, I've decided to try keeping a few plants in pots up by the house in an area that I've observed to be at least "partly sunny". It's far from the full sun panacea that they'd probably prefer, but it's better than nothing. I've also concluded that - at least on weekends - I might shuttle the containers around the yard, maximizing the sun they'd receive. But that seems so ridiculous that I'm not sure I'll actually do it. They're just vegetables, right? Don't I have more important things to do than schlep flower pots around? Is a BLT made from tomatoes you grew yourself really *that* much better than any other BLT on earth?
Of course it is, silly.
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Adi thought:
Hmm.. maybe you could buy some reflectors and place them at strategic positions to illumninate the tomatoes better.. like the way they do during movie shoots...