The cost of rent a home in Algarve varies based on what kind of home you are renting, how many bedrooms it has, whether it is an apartment or a villa, and so on. It also varies depending on the length of time that you intend to stay.
There are two types of rentals in the Algarve. One is the summer, short-term rentals similar to the ones they have in Florida, California, or anywhere that is a holiday spot. In the summer, a two-bedroom apartment, which is probably the most common type of apartment to rent, would start between €500 (US $550 or £360) a week to about €1,250 (US $1,375 or £900) a week, depending if you have the views and other amenities. A three-bedroom villa would start you at about €750 (US $825 or £540) a week to around €3,000 (US $3,300 or £2,175) a week. The price depends on where the villa is located, the views, and the amenities. The price range is very large because there is a huge range of real estate products here in Algarve.
The second category of rental is the winter, long-term stay or permanent rentals. The average rule for this type of rental is that one week of summer rental would be slightly less than one month of winter rental. That is the rule of thumb that we use all the time and it works very well. A two-bedroom apartment in the winter, per month costs around €500 (US $550 or £360) to €900 (US $990 or £650) and a villa in the winter would cost you €1,200 (US $1320 or £870) to €2,000 (US $2,200 or £1,450). The reason why it is lower than the high end in the summer is because many of the very expensive villas in the summer would not be target market for winter rentals because they would be too large or too expensive for most of the winter lets.
The winter rental is slightly different than the 12-month rental. A winter rental is a rental for people who would be looking to stay in a warmer place like the Algarve during the coldest months in places like Canada, the US, England, Sweden, and Germany. They would typically stay here between October and November and maybe around March to May. Those would be your typical winter months. We are getting an increasing number of people who are looking for these winter months because of recently approved legislation called the non-habitual resident status, which allows pensioners from abroad, newly-arriving and resident pensioners to receive their pension tax free in Portugal. To do so, they have to remain in the country for 183 days or more. Of course, most people do not want to be in the cold countries during winter so they spend their winters abroad with a tax advantage and they come over to Portugal to rent for 6 to 8 months. This way, they get their tax benefit and spend their winters in the sun.
The year-long resident with a12-month contract would typically pay more than the winter let rate because the rate would include the very expensive summer months, and so the monthly rental price would be higher than the monthly price for winter let. Using the same example as above, on a year round basis, a two-bedroom apartment would cost between €1,000 (US $1,100 or £725) and €1,500 ($1,650 or £1,088). For a two-bedroom villa, it would cost around easily €1,500 (US $1,650 or £1,088) to €3,000 ($3,300 or £2,175) a month. These rentals are located in the nicer areas of Algarve with the top end being in the nicest areas. There is enough nice quality stock of rentals in the Algarve so that no one needs to feel as though they were living in a very basic, bare bones location. Even our cheapest stock, which is a one-bedroom apartment and costs around €350 (US $385 or £254) a month in the winter, are fully furnished and within walking distance to shops, restaurants, and sometimes even to the beach. Not all rentals are like that but there is no lack of quality, fortunately, in the Algarve.
(Rental a Algarve Senior Living, Algarve, Portugal, pictured.)
If you start your own business that hires local Mexicans you will find no problems. You may need the proper visa and will have to form a Mexican corporation in most situations. 
Yes, Americans who live abroad are still required to file a U.S. tax return, even if there's no tax due. In fact, filing an annual U.S. tax return is actually MORE important once you live abroad. Here's why: 
Internet is one of the more expensive luxuries here in Belize. The cost is about BZ $88 (US $44) a month for 1 MB of Internet. In the Caribbean, we're the most expensive when it comes to Internet per month. And the fastest Internet speed we get is about 16 MB and that's going to cost you around nearly BZ $700 (US $350) a month. .jpeg)
Originally from Northern Ireland, and after a 10 year stint of working in the cruise industry and traveling extensively, I decided it was time to settle somewhere and find a "grown-up job"! 
If you’re an expat, you may not want to read this. If you’re considering becoming an expat, you need to read it. Here’s what I’ve taken away, thus far, from my recent heart attack, and a very real brush with death in Medellin Colombia. Some of these insights I never imagined. Some of them were almost worth the roller coaster ride and associated pain and concern they presented. 