I've done it both ways. It was easier with the spring compressor than the floor jack because I could precisely control the angle of the control arm and this eliminated the need to compressed the strut to get the bolt holes to line up. Safer with the spring compressor too. Many have done it with a floor jack and lived to tell about it. I'd replace your strut mounts if they're original. They're very easy to change out with the struts removed - 3 bolts at 20 Nm.

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Brian Toscano