I usually change keys at least 2 or 3 times in a performance. I change from one key to another usually based on what instruments (sounds)I want to play during the next chorus. For example the range of some instruments sound better to me in certain keys expecially if I am going to play them in a chord structure rather than a single note passage. Also sometimes the Rhythms I choose before starting the arrangement will also sound better in a higher or lower key.
To me it doesn't matter which way I want to transpose. Going down is as easy as going up.
Example of going down from F to E Flat:
F
G Minor
G Flat Minor
F Minor 7th
B Flat 7th
E Flat
Sorry, I couldn't remember how to prnt the "Flat" symbol.
As already stated, using the basic cycle of 7ths (with a few modifications now and then)will always work out.
Example: G, G7th, C, C7th,F,F7th, etc.
Have fun.
Larry Gosmeyer