Seeking help in removing some VERY old vinyl kitchen floor tiles. Much work involved. Does anyone have some back saving tips on removing this stuff? Help needed. Thanks.

Two things come to mind. First off you said very old. That raises the concern for asbestos in the backing of the tiles. I suggest you cut a small section away and send it out to a local lab for evaluation. If it comes back with asbestos it becomes real easy to remove. Have a professional do it for you that has the licence to handle asbestos.
If the test comes back not having asbestos. Purchase a heat gun used for stripping paint. Warm the tiles up and get a good quality pole scraper and get down and dirty. If the foor has seveal layers of tile and has been built up over the years from other flooring installed under. Again check any newly exposed flooring that may be covered over for asbestos once clear shallow cut the floor with a skill saw through to just the sub-floor in strips of about 12" wide and pry the layers off with a crow bar.
Regardless of the method used it is going to be hard and dirty as well as time consuming. Not a fun job.

Thank you so much. We've been looking for quite awhile. Difficult job, but it will be well worth the changes.

Thanks again.

Many old styles of vinyl tile contained asbestos as well as many types of sheet vinyl. Many of the mastics used to glue these materials down contained the big A as well. Be careful obtaining the sample(s). Be sure you are sending it to a lab that is equipped to tell you that it is asbestos. They need to analyze the sample using the PEL method to provide valid results. When you get the report back it should say the type and quantity of asbestos present. If there is more than 1%, it is considered an asbestos containing material and therefore requires special handling, read "proffessional abatement".