  We present the discovery of TYC9191-519-1b (TOI-150b, TIC 271893367) and
HD271181b (TOI-163b, TIC 179317684), two hot Jupiters initially detected using
30-minute cadence Transiting Exoplanet Survey Satellite TESS photometry from
Sector 1 and thoroughly characterized through follow-up photometry (CHAT,
Hazelwood, LCO/CTIO, El Sauce, TRAPPIST-S), high-resolution spectroscopy
(FEROS, CORALIE) and speckle imaging (Gemini/DSSI), confirming the planetary
nature of the two signals. A simultaneous joint fit of photometry and radial
velocity using a new fitting package juliet reveals that TOI-150b is a
$1.254\pm0.016\ R_J$, massive ($2.61^{+0.19}_{-0.12}\ M_J$) hot Jupiter in a
$5.857$-day orbit, while TOI-163b is an inflated ($R_P$ =
$1.478^{+0.022}_{-0.029} R_J$, $M_P$ = $1.219\pm0.11 M_J$) hot Jupiter on a $P$
= $4.231$-day orbit; both planets orbit F-type stars. A particularly
interesting result is that TOI-150b shows an eccentric orbit
($e=0.262^{+0.045}_{-0.037}$), which is quite uncommon among hot Jupiters. We
estimate that this is consistent, however, with the circularization timescale
which is slightly larger than the age of the system. These two hot Jupiters are
both prime candidates for further characterization --- in particular, both are
excellent candidates for determining spin-orbit alignments via the
Rossiter-McLaughlin (RM) effect and for characterizing atmospheric thermal
structures using secondary eclipse observations considering they are both
located closely to the James Webb Space Telescope (JWST) Continuous Viewing
Zone (CVZ).
