Quick answer: Munich Airport has both terminal-adjacent parking (P1, P3, P4, P7 near Terminal 1; P20, P26 near Terminal 2) and cheaper Economy parking further out (P41, P43, P44, P50, P51, P90) reached by free shuttle.
Terminal parking vs. Economy parking
Terminal parking (P1/P3/P4/P7/P20/P26) puts you a short walk from check-in but costs more — roughly €4 per 30 minutes for short stays. Economy parking (P41/P43/P44/P50/P51/P90) is cheaper (around €5 per hour, €34/day at P41/P43) and connected to the terminals by a free shuttle bus — line 635 runs from P43 every 10 minutes, 03:42–00:52.
Smoking areas
Smoking is only permitted in designated, clearly marked areas — check terminal signage, as exact locations can change. There is no general smoking allowed inside the terminal buildings themselves.