Story highlights Republican senators are split over how to tackle Obamacare

Here's a look at their options

Washington (CNN) Republicans on Capitol Hill are working to both "repeal and replace" President Barack Obama's signature health care law, the Affordable Care Act, also known as Obamacare.

While every single Republican wants to get rid of the law, how exactly to go about it is the subject of much debate and growing consternation.

For starters, how to replace a law that reaches deep into the US social fabric? And when? That's where the confusion starts. Some Republicans are questioning a budget procedure that would enable a fast repeal of parts of the law , but also add to the budget deficit.

So far, Republican leaders are sticking with their plan to push through a bill in the next few weeks to vote to repeal Obamacare without replacing it. But they are starting to hear some opposition within their ranks.

Here's a look at the general options before them and where Republican senators who have been vocal on the issue stand on the plan to "repeal and replace" Obamacare: