It is vitally important that you do this at the start of spring. Plants that are getting too big for their containers need to be upsized, as 90% of their growth occurs during the spring months!
You must re-plant any plants that have been in a container for two or more years, even if they have not out-grown the container, as the potting mix is by now degenerate.
Remember to water well in the re-potting stage, and although good-quality potting mixes contain fertilizer, a slow-release fertilizer (eg. Osmocote) can be good at this stage also.
After re-potting, the plant should be in a partially shaded area for a few weeks to allow for re-adjustment, before putting back into their prefered exposure level.