On chrome plating, you start by washing off as much debris as you can(chuncks of debris, small or large, can prove to be harder than the chrome, believe it or not).

Then you use the brass brush to flick off the more stubborn debris. Wipe the surfaces off with a damp rag.

Then you switch to aluminum foil and rub away. Then you coat the part with wax(do not wax the brake surfaces on the rim).

As for an easy way to get between spokes - take the wheel apart! Cleaning wheels is a real pain and you just have to be patient and do the work. Personally, it is one of the restoration tasks I derive little pleasure from.