Tomato question

Tomato question

I procrastinated in getting cages on my tomatoes and now the plants are a sprawling, flowering tangled mess. Some of them I was able to put the biggest branch into the cage, leaving the rest to sprawl about. The cherry tomato is particularly guilty. Do you think it would be a bad idea to prune one (two, max) branches that are looking really hopeless and growing into their neighbors? I hate to do it because there are flowers (especially the cherry, again), but I would do it if it meant an overall healthier plant and more fruit down the road.
Crocuses!

Crocuses!

End of June Blooms.

End of June Blooms.

My Room

My Room

Mystery plant

Mystery plant

Spots on my holey Avovado “Tree”

Spots on my holey Avovado “Tree”

Household tips

Household tips