We present the Distant Giants Survey, a three-year radial velocity campaign to measure P(DG|CS), the conditional occurrence of distant giant planets (DG; Mp~0.3-13M_Jup_, P>1yr) in systems hosting a close-in small planet (CS; Rp<10R{Earth}). For the past two years, we have monitored 47 Sun-like stars hosting small transiting planets detected by TESS. We present the selection criteria used to assemble our sample and report the discovery of two distant giant planets, TOI-1669b and TOI-1694c. For TOI-1669b we find that Msini=0.573{+/-}0.074M_Jup_, P=502{+/-}16days, and e<0.27, while for TOI-1694c, Msini=1.05{+/-}0.05M_Jup_, P=389.2{+/-}3.9days, and e=0.18{+/-}0.05. We also confirmed the 3.8 days transiting planet TOI-1694b by measuring a true mass of M=26.1{+/-}2.2M{Earth}. At the end of the Distant Giants Survey, we will incorporate TOI-1669b and TOI-1694c into our calculation of P(DG|CS), a crucial statistic for understanding the relationship between outer giants and small inner companions.