Frameless shower doors offer several advantages. Most notably, with no metal frame, there are fewer places to trap water and for mold and mildew to grow. Another consideration is appearance. Frameless shower doors have a sleek, refined look that framed doors lack.
As mentioned before, price is a factor, so you will have to choose which style of shower enclosure you prefer. Only you can decide if the advantages of a frameless shower enclosure are worth the extra price.
Another factor to consider when choosing a shower enclosure is the obscurity level of the glass. Most people prefer glass that has been obscured by clouding or patterns in the glass. This gives one an added degree of privacy when showering. However, you may want a clear glass construction, if you had, for example, a view of the mountains out your window, and you wanted to enjoy it while you were showering.
If you choose to get a framed shower enclosure design, you'll have to choose a finish for the metal, also. Generally, you should have the finish of the metal in your shower enclosure match the fixtures in your bathroom. Remember that with most shower enclosures, the metal finish will have nothing to do with what metal the product is constructed with.
Visual design is another factor to consider when choosing a shower enclosure. Nowadays, you can choose from all kinds of unusual designs, including circular shower enclosures, etc. It's up to you how you want your bathroom to look!