pyrethrines kill on contact. find a concentrate you mix yourself. the pre-mixed stuff is highway robbery. These biodegrade very fast, even so, don't use in flower.
Sticky traps are great pre-emptive thing just to put up regardless at beginning of the grow. they are cheap and don't take up space. I used to do this but after several years of no issues i just don't bother anymore, hope you get to that point too. I think these risks depend heavily on where your house is located more than anything else we control.
neem is only effective if it has the 'azadirechtin' (misspelled but close). Otherwise it is clarified neem and does virtually nothing in regard to pests or much of anything else really. I used to use it. It really doesn't do much of anything useful and smells like shit anyway. in my state you can't even buy 'real' neem oil. i'm sure actual farms can get it, but also have access to real pesticides that are effective too.