You can't get eggs faster but you can hatch them faster by having a Pokemon that has the Flame Body ability.
No,but there sort of is for hatching eggs
It depends on what Pokemon you have in the daycare. The Pokemon that hatches from the eggs given to you by the daycare man will be the pre-evolved form of the female Pokemon you have in the daycare.
use a Pokemon with emargo I am not so sure, but try riding your bike down and up the cycling road a few times. This makes eggs hatch faster and getting an egg at the daycare take less time.
yes
No, there is not an egg shop in any Pokemon game. To get eggs, you must leave two compatible Pokemon at the daycare and run around until the daycare man finds an egg which he will give you.
ex. you can get an egg by setting a female poliwhirl and a male poliwhirl and put them into the daycare. if wait a couple of minuttes you go to the old man at the daycare and he will give you a Pokemon egg
all Pokemon except legendarys. put 2 Pokemon same species opposite gender or a ditto and any Pokemon in the daycare
In every mainstream Pokemon game since Gold and Silver, there has been a Pokemon daycare in the middle of the game's storyline; if you leave two similar Pokemon of a different gender or a Pokemon and a ditto in the daycare, they will lay an egg. Legendaries and genderless Pokemon cannot lay eggs. In Pokemon Diamond and Pearl, you can track egg laying with the Daycare app.
Yes.
No it wont but if you have the Cheat Instint egg in daycare for action replay then yes
put a ditto in the daycare with another Pokemon
you can't give eggs to the daycare lady, only Pokemon