Yes it’s the so call better school and happened to be the nearest also..
then it's really up to u to make the judgement call & even weigh the pros & cons to shift house now or later
i suppose u or your spouse by any chance former alumni of the school?
or even consider other schools as back-up choice?
if the sch that u r aiming for is the traditionally popular sch, then be mentally prepared balloting can happen even @ the earlier rounds of registration...by the time come to phase 2C, no chance
think u can search for the past few years' enrolment trend to see how it pans out
if the last few years (take at least 4-5 yrs' trend as a reference start) the school is having ballot even as the earlier rounds of registration, then best is have back-up plan as i don't think u wont want to put all eggs into 1 basket
later cant get in the school
then u have to start scrambling for a place in the latter phases such as phase 2C(S)