Going for the least expensive option is almost an invitation for a bad result or no results at all. From the photo you included, it does not appear as if you need a facelift. Perhaps a better option would be to consider some type of skin rejuvenation/skin tightening procedure such as fractional laser resurfacing. This in conjunction with some strategic use of Botox and fillers may postpone the need for a facelift for 5-10 years. I hope this helps.
When it comes to surgery, you should not make your decision based on the least expensive option. By doing so, you may end up setting yourself up for less-than-optimal results and greater cost in the long run. It is difficult to tell by your photo, but you may not even need a facelift at this point. In order to make a well-informed decision, you should start by consulting with a board certified facial plastic or plastic surgeon who can answer your questions and concerns. Best of luck.