"Budgie smugglers" is a slang term used to describe tight-fitted men's swimwear. It's an informal term that is often used in Australia and New Zealand to refer to speedos or briefs. However, if you are not comfortable using this term and want to be more discreet, some of the alternative synonyms include "men's briefs," "swim trunks," "swim briefs," "tight designer swimwear," and "racing briefs." Some people use these terms interchangeably, but it is essential to note that "budgie smugglers" could be seen as offensive in some contexts. Therefore, alternate synonyms can be used to refer to these tight swimwear without causing any discomfort to those listening or reading.