If you ever want to pause your search, you can do so at any time in the right tab under search settings. There, you can simply switch from single mode to matchmaker mode at the top. This way, you won’t appear in the search for others, and your matchmakers won’t be able to swipe for you either.
And don't worry: all your existing Blindchats will remain of course, and you can continue chatting with your matches. Apart from your friends, no one will know that you've deactivated your search.