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This is a very comprehensive answer from NC State University: http://www.ces.ncsu.edu/depts/hort/consumer/factsheets/shrubs/text/pruning.html
Trees and shrubs can be lightly pruned anytime in Florida. To minimize reduction of next year's flowers, prune spring-flowering plants such as azaleas, in late spring before the flower buds set for the next season.
most spring blooming shrubs require pruning after the blooms are gone, but before fall.
The usual answer is immediately after they have flowered. If you prune them more than once a year they are called a hedge.
Shrubs that do not have blooming flowers need to be trimmed just when the weather is starting to warm up after winter. A person that lives in a climate that does not have snow can trim their shrubs whenever they need it.
The best time to trim a potentilla, and any other summer-flowering shrub, is in the spring before the potentilla buds out.
Although July is the best month for trimming of shrubs and bushes, it can be extended up to first or second week of August in some cases.
It's best to wait for a little after the last of the cold has passed. Cutting while they are in hibernation may result in shock and stunted growth.
my coral tree needs to be trimmed back it has gotten out of hand. is it ok to trim it at now or is it a bad time of year?
It is not advisable to trim bushes in frosty weather.
Most evergreen shrubs are best pruned in the Spring. Cut it back as much as you like but remember pruning encourages more growth.
You can trim the mimosa tree in the spring or fall. They are extremely hardy and take well to pruning.