PCs plugged into power strip into ungrounded GFCI?

This is an electronics basic noob question to be sure.

I'm moving into a place that only has two pronged (presumably
ungrounded) outlets.
I'm trying to figure out if I will have to go back to the stone ages or
if I can run my PC's and router/firewall in this home?

My thinking is that I can replace the two pronged outlets with
ground-fault circuit interrupters and then plug power strips into
those.

Is this a sensible solution or am I asking to burn the house down
around a fried motherboard?

If it is the later could anyone advise me on a way to work in an older
home?

jim

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