You will still have periods whether or not you tie your tubes. If that is the reason you are considering doing it, please reconsider, because your periods will not be affected. (Look up a biological drawing of the relationship of the uterus to the Fallopian tubes. You can see that the period, which originates in the uterus and goes downward, has nothing to do with the Fallopian tubes.)
Also, to "untie" the tubes after ligation is a painful and expensive operation, not covered by health insurance. Women wanting this must pony up thousands of dollars out of pocket, and it is not guaranteed to work.
Finally, the egg freezing process is in its infancy, not always effective. (Embryos are regularly frozen and thawed, but egg freezing is new and not yet widely done or reliably successful.)
A tubal ligation affects only the ability for your eggs to travel to the uterus and does not allow them to be fertilized . Your uterus still builds up the stores of mucus and blood that it always has readying your body for pregnancy. Therefore it must shed as it always has.