Getting dentures put in right after the extractions has many benefits. The denture acts as a pressure bandage to help control bleeding plus leaving the office with teeth as opposed to toothless does wonders for your body image and self esteem. There is going to be some pain and discomfort in the early days but if you follow the dentists directions, you should be able to tolerate it. If the pain is extreme- go back to the dentist. Use ice packs for the first day or so to help with pain and swelling.
Be sure to get as much information up front as you can, get your plan in writing including all costs associated with getting dentures. Try to maintain a positve outlook. It is going to be hard at first but you are not the first nor will you be the last to go through this. There are plenty of people out there that can help- just ask.