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We study the signals for supersymmetry at the Tevatron and DiTevatron($\sqrt{s}=4\TeV$) in various well-motivated supersymmetric models. We considerthe trilepton signature in the decay of pair-produced charginos andneutralinos, the missing energy signature in gluino and squark production, andthe $b\bar b$ signal in the decay of the lightest supersymmetric Higgs bosonproduced in association with a $W$ or $Z$ boson. In each case we perform signaland background studies, using Monte Carlo and/or real data to estimate thesensitivity to these signals at the Tevatron and DiTevatron with the MainInjector, for short- and long-term integrated luminosities of ${\cal L}=10$ and$25\ifb$, and $5\sigma$ statistical significance. We conclude that one couldprobe chargino masses as high as $m_{\chi^\pm_1}\sim180\,(200)\GeV$, gluinomasses as high as $m_{\tilde g}\sim450\,(750)\GeV$, and lightest Higgs bosonmasses as high as $m_h\sim110\,(120)\GeV$ at the Tevatron (DiTevatron). Ahigh-luminosity option at the Tevatron ($10^{33}\cm^{-2}\s^{-1}$) maycompensate somewhat for the higher reach of the DiTevatron, but only in thetrilepton and Higgs signals. However, these gains may be severely compromisedonce the multiple-interaction environment of the high-luminosity Tevatron isaccounted for.Comment: 38 pages, Latex, 12 figures (not included). Figures are available via  anonymous ftp from hplaa02.cern.ch (/pub/lopez) as one uuencoded file  (DiTevFigs.uu, 0.731MB). CTP-TAMU-19/9

Supersymmetry at a proposed √s=4 TeV upgrade of the Fermilab Tevatron