At normal turning speeds you will cut a mile of wood every five minutes or so, so you will be doing plenty of sharpening! This is why most people look for fast ways to sharpen but you can sharpen by hand if you prefer.
If you are going for powered sharpening, you have three options - a bench grinder, a whetstone grinder or a belt sharpener the bench grinders are the cheaper of the three.
Most bench grinders have small platforms so you will probably want to augment that with something bigger. You can buy one or make your own from mdf (which is what I did when I started). You may also want to buy jigs to aid your sharpening. The jigs aren't essential but it does make life easier and improves repeatability, which prolongs tool life. White aluminium oxide wheels are preferable to the grey carborundum wheels for sharpening HSS. You can pay lots of money for fancy wheels like CBN but they aren't essential.
If you buy a whetstone grinder, they sharpen well but slower than a bench grinder so major reshaping takes much longer. You may also find you want a few different jigs for one of these but you could get away with just a platform attachment.
The belt sharpeners are much more expensive than bench grinders but you have the option of switching belts quickly which can be useful. Some people like these because they prefer flat bevels. However, some of the belt sharpeners struggle to produce some of the more exotic grinds such as the Ellsworth grind so decide what you are trying to achieve before splashing out.
Don't get sucked in by the hype and think you need to take out a second mortgage! all you need is an abrasive surface to sharpen the tool and that could even be a piece of MDF with some sheet abrasive on it.