Replacement timing: bottom bracket after gear and chain I am planning to do a massive replacement on my city bike: chain, gears (both front and rear) and also bottom bracket, as I noticed the pedals tend to oscillate to the sides when I load them.

While I can attempt changing chain and gears on my own, I prefer to let a workshop do the bottom braket. This mean that I will probably have some time inbetween the two replace actions. 

Since I have read here that it is not a good idea to replace only chain or gear, I wonder if a wore bottom bracket does have a bad influence on newly mounted gears and chaing?
There are good reasons to avoid using a very worn chain for to long as it can wear the cassette requiring both to be replaced. 

I doubt that a small amount of play in the bottom bracket would move the chain enough to cause unusual wear to the chain, rings or sprockets. There may be more chance of a problem on a single speed or fixed gear bike where the chain has less give.

There's a small risk of poor shifting with a wobbly bottom bracket, so perhaps take care and avoid any gears which rub.

Otherwise, as long as the shop replaces like for like, you shouldn't have a problem. Likewise, worn gears should not adversely affect your bottom bracket.