What to do with my rotten teeth?

Oral and dental care
1

Need advice on what to do with my teeth.

https://www.bilder-upload.eu/upload/280d02-1570431663.png
Tooth A and B are barely left, only some parts of them are still present. On tooth A I had (or still have) an abscess, my face would swell because of it, it was long time ago, although I didn’t go to dentist because of it. When I touch my face over the tooth A, I can still feel pressure and some pain. The back side of tooth A is still present, can it be rebuilt?
What should I do with tooth A and tooth B?
-nothing
-implants
-heal endodontically (but how to rebuild it?)
-extraction and leave empty
-bridge
Anything else?
Which option is suitable for tooth A and tooth B? Which is safest and have least chances of complications?
One important thing is, I am not very tolerant to local anesthetics and often it doesn’t work anyway.

2

Rotten means decaying, infected, decomposing. Have both extracted and leave empty. I think it’s the safest and have least chances of complications in the long run.

3

But those are two teeth, I am afraid of how will the other teeth move into this hole.
Also it seems that tooth extraction also can have complication, dry socket. But it’s safer than implants.