The Find/Replace window should stay open after doing a search

[Axeman]

Currently the Find/Replace window in the editor closes after a search, which is annoying. It should stay open so that multiple searches can be done, if desired. There also needs to be a toolbar icon button for it, so that it can be easily accessed.

[skywalk]

I prefer the current behavior, because I immediately start to cycle up or down my code with [F3] or [Shift]+[F3] without the search dialog blocking my screen.

The search dialog stays open with:
[x] Replace
If you want the window behavior to change, I would request an additional checkbox:
[x] Persist

[Axeman]

Having that 'Persist' checkbox in the window itself (as you suggested) is probably the best option, as long as the setting is saved so it's not necessary to do it every time.

[BarryG]

I prefer the current behavior

Same. I don't want it to stay open after a search. Gets in the way. F3 does multiple searching anyway, so we don't need it to stay open.