You may need to remove the caulking from your tub surround for several reasons, such as mold, peeling, or simply to refresh the area. Follow these steps.
Step 1 - Remove Loose Caulk
Caulk that is already loose or peeling is very easy to remove. Just hold with your fingers and pull. If latex caulking was used, it will stretch as you pull and possibly break. Just pull all loose parts away. You may also find as you pull loose parts, other areas loosen, which will save you a lot of work.
Step 2 - Stubborn Caulk
Once you have removed the loose caulk, go back with your putty knife or rubber scraper and scrape the bits. Gentle pressure and a bit of rubbing will usually finish the job. Do not scratch the surround. You can also warm the area with a hair dryer set on high to soften the caulk and make it easier to remove.
If you still have bits of caulking left on your tub surround, rub it with a rag dipped in mineral spirits. Doing so will loosen it so that you can use the rubber scraper or putty knife to remove the rest of the caulking.