  We present a systematic study of the structural and magnetic properties of
two branches of the rare earth Tripod Kagome Lattice (TKL) family
A$_{2}$RE$_{3}$Sb$_{3}$O$_{14}$ (A = Mg, Zn; RE = Pr, Nd, Gd, Tb, Dy, Ho, Er,
Yb; here, we use abbreviation \textit{A-RE}, as in \textit{MgPr} for
Mg$_{2}$Pr$_{3}$Sb$_{3}$O$_{14}$), which complements our previously reported
work on \textit{MgDy}, \textit{MgGd}, and \textit{MgEr} \cite{TKL}. The present
susceptibility ($\chi_{dc}$, $\chi_{ac}$) and specific heat measurements reveal
various magnetic ground states, including the non-magnetic singlet state for
\textit{MgPr}, \textit{ZnPr}; long range orderings (LROs) for \textit{MgGd},
\textit{ZnGd}, \textit{MgNd}, \textit{ZnNd}, and \textit{MgYb}; a long range
magnetic charge ordered state for \textit{MgDy}, \textit{ZnDy}, and potentially
for \textit{MgHo}; possible spin glass states for \textit{ZnEr}, \textit{ZnHo};
the absence of spin ordering down to 80 mK for \textit{MgEr}, \textit{MgTb},
\textit{ZnTb}, and \textit{ZnYb} compounds. The ground states observed here
bear both similarities as well as striking differences from the states found in
the parent pyrochlore systems. In particular, while the TKLs display a greater
tendency towards LRO, the lack of LRO in \textit{MgHo}, \textit{MgTb} and
\textit{ZnTb} can be viewed from the standpoint of a balance among spin-spin
interactions, anisotropies and non-Kramers nature of single ion state. While
substituting Zn for Mg changes the chemical pressure, and subtly modifies the
interaction energies for compounds with larger RE ions, this substitution
introduces structural disorder and modifies the ground states for compounds
with smaller RE ions (Ho, Er, Yb).
