  TeV halos have been suggested as a common phenomenon associated with
middle-aged pulsars. Based on our recent work on PSR~J0631+1036, which is the
only known source positionally coincident with a hard TeV gamma-ray source and
likely powers the latter as a TeV halo, we select 3 candidate TeV halos from
the first Large High Altitude Air Shower Observatory (LHAASO) catalog of
gamma-ray sources. The corresponding pulsars, given by the positional
coincidences and property similarities, are PSR J1958+2846, PSR J2028+3332, and
PSR J1849$-$0001. We analyze the GeV $\gamma$-ray data obtained with the Large
Area Telescope (LAT) onboard {\it the Fermi Gamma-ray Space Telescope} for the
first two pulsars, as the last is gamma-ray quiet. We remove the pulsed
emissions of the pulsars from the source regions from timing analysis, and
determine that there are no residual GeV emissions in the regions as any
possible counterparts to the TeV sources. Considering the previous
observational results for the source regions and comparing the two pulsars to
Geminga (and Monogem), the LHAASO-detected TeV sources are likely the pulsars'
respective TeV halos. We find that the candidate and identified TeV halos,
including that of PSR~J1849$-$0001, have luminosites at 50 TeV (estimated from
the differential fluxes) approximately proportional to the spin-down energy
$\dot{E}$ of the pulsars, and the ratios of the former to the latter are $\sim
6\times 10^{-4}$.
