Since you are a single member LLC and are breaking even - meaning you do not have too much income in excess of the expenses- you so not have to make any quarterly estimated tax payment.
So yes, you are correct that you do not have to make estimated tax payment. Generally you are expected to make a quarterly estimated tax payment if your tax liability is going to be at least $1000 after subtracting your tax withholding
, if any, and the tax credits.
Link to estimated tax-
Let me know if you have any question.
Please note: This advice is provided with the understanding that all the relevant facts have been provided by you. Any change in facts might affect the advice given and hence may not be relied on in such cases. Nothing contained in this reply was intended or written to be used, can be used by any taxpayer, or may be relied upon or used by any taxpayer for the purposes of avoiding penalties that may be imposed on the taxpayer under the Internal Revenue Code of 1986, as amended.