Personally I never remove flowers. They either set fruit or don't and fall off. As for suckering it depends on how much time you want to spend suckering. Personally I don't and just use nylon netting attached to posts then occasionally weave the branched through the netting. You could prune them back to 1 stem if that's all you want to handle, but that's a lot of constant suckering. My parents use stakes and simply prune them back to 2 or 3 stems and tie them up.

Tomato plants are pretty resilient and whatever you do they'll be fine. Last year I cut an extra plant off at the ground and guess what it came back and I ended up having to pull it out of the ground to keep it from growing. This year a tomato plant sprang up in my yard. I've cut the grass several times and usually end up stepping on it when I'm walking between my beds. It's still there and springs back up until it's hit with the mower again.

I even remember someone on this forum last year or the year before had a tree fall on one of their tomatoes. Later that year they claimed it was their most productive plant.

I personally don't ever remove any flowers...

As far as pruning/suckering, do what you have to do keep the plants manageable. I pruned to three main stems one year, the yield was just OK, and it turned out to be a lot of work. Now I use a single cage pushed into the ground, and then another one zip-tied on top of it, and I no longer do any pruning. But again, do whatever fits your situation.

I never remove flowers, but I also don't ever plant tomatoes with flowers already on them (I plant them when they are 8-10 weeks from seed and they never seem to have buds by this point).

A lot of my plants had little flowers on them when they are 12-18" tall in the ground (planted deep) and I left them, a few fell off with some cold nights we had. A few of the flowers have set and I have some 2" green tomatoes now. The plants didn't stop growing because the fruit had set - they are all good sized now some in the 3-4ft range which is pretty good for southeastern PA.

My opinion is that the plants know better than we do when they are ready to set and mature fruit - so I leave it alone as far as that goes and have had good results... AND early tomatoes :)

As far as pruning goes, 3-5 main stems is fine if tying off is your method of support. What I had tried when I had done pruning was develop some main stems and then prune suckers to a point and where the plants reached a decent height, then I just let them go nuts and drape back down towards the ground. Production was good and they were mostly manageable, although not very pretty, heh. Sure some fell over and some branches may have snapped in storms, but by that point it was nearing the end of the growing season and the extra production, as compared to continued pruning, was worth it.

A little off subject, but have you ever heard of doing the florida weave technique? Relatively cheap and less maintenance than traditional staking. Personally, I've gone to cages and never looked back. It was an investment up front but since I plan on growing every year I can, they'll pay for themselves in time saved and production before long.

Here are some pics of the plants on July 19 last summer, about 6 or 7 weeks after planting (about 13 to 14 weeks from planting seeds). Just kept growing wider and taller after this. I was thinking of getting a roll of CRW and kind of snaking it up each row (starting behind plant #1, bringing it in front of plant #2, behind plant #3, etc...so it would 's' its way down the row) to do a sort of modified-florida-weave-type-support. We will see, last year's no/minimal pruning did yield good results, and I did cut back from 50 to 30 plants, we will just have to see how it goes unless some of the experts around here have some specific advice.