92 fuel tanks have inferior baffling that can cause that problem. If you were a little lower on fuel, it would try to stall in a turn. An old plugged up strainer assembly on your pump can make this work.
Changing the fuel pump can be a DIY job, but it'* VERY difficult with only one person. Ideally you should have 3 people when the tank comes out and goes back in. It should make it alot easier.
A couple of us have done this solo, but it'* not fun. Please check your fuel pressure first, and if it'* bad, consider getting a fuel tank from a wrecker from a 93 or newer, then move your sending unit over to it and install a new pump before installing the donor tank. 93 and newer didn't have the baffling problems.
My FP swap: