You will probably need to pull up some tiles and see what it looks like underneath. If it is easy to get them up, lots of options. If it is difficult, you probably want to use a scarifier or grinder.
Look at the equipment you might end up using and determine if you want to do it.
Concrete Scarifier / Planer with dust removal
Concrete Grinder with dust removal
Concrete Shotblaster with dust removal
Concrete is dusty. dust removal is good.
Rentals will start around $100 per day and go up depending on the equipment. Try to A-Z Rentals, Home Depot, Sunbelt, etc. and see if you will be comfortable using the equipment and whether you think it will have the effect you are looking for. Scarifiers will leave lines, grinders can leave swirls.
Many folks on the boards have gone 'budget' and purchased a low rpm floor polishing machine with sandpaper attachment from Craigslist, done the job, and then re-sold the machine. This can be a lot of work, but much cheaper than many alternatives.
For every complex question there is a simple answer, and it is wrong.