Submit your new store to the search engines.

Remember, that submission to search engines shall always be free, so beware of the companies that promise you fast submission for a, comparably, low fee. Avoid submitting your URL more than one time per a calendar month, in order not to get banned for spamming

Additionally to the major search engines, you may also want to submit your site to the smaller search engines, which are less popular and as a result get less opportunities and websites to crawl.