Thinking about removing and replacing some or all of your turf?
Covering all the options in detail that would be a very long post but I will give you the short version.
It all depends on where you live (mainly, whether or not you live in an HOA community), how long you want to take, how “green” you want to be, what you want to replace it with, and what your philosophy is regarding herbicides. And probably more than that. The method that I usually endorse is based on living within an HOA and/or, doing things relatively quickly.
The most “green” approach is called solarization. People use either black or transparent plastic sheeting or stacks of cardboard and  even newspaper, to completely cover and block off the light/raise the temperature of the turf underneath. That usually kills it but it can be messy and can take a long time. Some people simply cover the cardboard with mulch, since it’s biodegradable. And Bermuda grass is really tough, even with this method. Google solarization to learn more.
A lot of contractors spray roundup (glyphosate) or other herbicides, wait several weeks, then either spray again or dig up the dead sod either by hand or, more frequently, using a sod cutter machine.
I am in a situation in which most of the time the work needs to be done quickly and things like tarp or cardboard wouldn’t be permitted to be on the landscape. I also like avoiding a massive dose of herbicide. So I recommend hiring an experienced landscaper to use the sod cutting machine, and then lay down a 3 inch layer of mulch. Any grass that survives and pops through the mulch will be leggy and easy to remove or even can be sprayed.
Then I replace the sod with individually planted plants with drip irrigation so that drippers water only those intended plants and not the surrounding area, which discourages the grass from coming back. 
If you want to plant a groundcover that will work in full sun I recommend woolly Stemodia, snake herb, silver ponyfoot, or a seed mix from native American seed company that includes native grasses like buffalo grass. There are a number of plants that get a bit taller that work as groundcover like golden Groundsel, Heartleaf Skullcap, or Inland Seaoats. The latter 2, plus several others, work better in shade. I have a list and images in my plant gallery!
Hope this helps! 
Covering all the options in detail that would be a very long post but I will give you the short version.
It all depends on where you live (mainly, whether or not you live in an HOA community), how long you want to take, how “green” you want to be, what you want to replace it with, and what your philosophy is regarding herbicides. And probably more than that. The method that I usually endorse is based on living within an HOA and/or, doing things relatively quickly.
The most “green” approach is called solarization. People use either black or transparent plastic sheeting or stacks of cardboard and  even newspaper, to completely cover and block off the light/raise the temperature of the turf underneath. That usually kills it but it can be messy and can take a long time. Some people simply cover the cardboard with mulch, since it’s biodegradable. And Bermuda grass is really tough, even with this method. Google solarization to learn more.
A lot of contractors spray roundup (glyphosate) or other herbicides, wait several weeks, then either spray again or dig up the dead sod either by hand or, more frequently, using a sod cutter machine.
I am in a situation in which most of the time the work needs to be done quickly and things like tarp or cardboard wouldn’t be permitted to be on the landscape. I also like avoiding a massive dose of herbicide. So I recommend hiring an experienced landscaper to use the sod cutting machine, and then lay down a 3 inch layer of mulch. Any grass that survives and pops through the mulch will be leggy and easy to remove or even can be sprayed.
Then I replace the sod with individually planted plants with drip irrigation so that drippers water only those intended plants and not the surrounding area, which discourages the grass from coming back. 
If you want to plant a groundcover that will work in full sun I recommend woolly Stemodia, snake herb, silver ponyfoot, or a seed mix from native American seed company that includes native grasses like buffalo grass. There are a number of plants that get a bit taller that work as groundcover like golden Groundsel, Heartleaf Skullcap, or Inland Seaoats. The latter 2, plus several others, work better in shade. I have a list and images in my plant gallery!
Hope this helps!