TUCSON, AZ (Tucson News Now) – The departure of Congresswoman Gabrielle Giffords from office this week will leave both Democrats and Republicans seeking the best candidate to finish her term. “Her constituents love her, the services offered by her and her staff have been extraordinary, so she will be greatly missed,” said Jeff Rogers, chair of the Pima County Democratic Party. “I mean it's amazing what she's been able to do so far, so we'd like to see her make a complete recovery.  I think it's the best thing for her, I think it's the best thing for her constituents,” said Carolyn Cox, chair of the Pima County Republican Party. Congressman Raul Grijalva also said that Giffords made the right choice for herself and her constituents.  He was not worried about losing a Democrat in the House. “I'm convinced it's going to be a Democrat,” he said.  “I don't see anybody on the other side that can measure up to the civility and work ethic that Gabby had.” “My major concern is getting the message out to the voters—making sure they understand all the complexities of the law,” said F. Ann Rodriguez, Pima County Recorder. Once Giffords gives her resignation to Governor Jan Brewer, the governor will have 72 hours to announce the special primary and general elections.  The primary will likely have to occur in April and the general will likely be sometime in June.  Rodriguez said that the two elections will likely have a combined cost of more than one million dollars.  She said that she was not concerned about her office being able to handle the demand.  But she wanted to make sure that voters will be ready for so many elections in a short period of time.  The Presidential primary will be next month. “There's going to be a lot of activity, there's going to be a lot of confusion.  But we already know that because of the timing and because of redistricting and because of the Presidential preference election,” Rodriguez said.  “This is all within six months, (it's) a lot of activity within six months.” The last time a southern Arizona congressman stepped down was Mo Udall in 1991.  Once the special election concludes, voters face more demands with the regular primary and November general election.  Both sides of the aisle considered a win in the special election to be only a boost to a November victory. “I think there will be a strong possibility that perhaps Congresswoman Giffords will let us know that there is someone she favors,” Rogers said.  “But voters and the Democratic Party will certainly take that into consideration.  I'm hopeful she'll do that.” “There are also a lot of people who think it's time for a change and that will also have an impact, too,” Cox said.  “It just depends on the message.”  Copyright 2012 Tucson News Now. All rights reserved.