usually, much is for uncountable nouns while more is for countable nouns
in your case, it is about comparatives and superlatives
that is, big > bigger >>biggest
in exceptional cases, we do not add -er or -est
like, good, better, best
and convenient, more convenient, and most convenient
the first one change forms, while the 2nd one add more to the comparative and most to superlative
when you add much in front of a compartive, you emphasize the meaning of A LOT
for BETTER, it includes the meaning of more in it already, therefore there is no need to add another more in front