Hi, and Welcome...
If you are going to cycle the LR (live rock) with your new tank, I would not suggest taking it out periodically at all...When you first get the rock, yes, give it a rinse/wash/scrub, to make sure there are no unwanted "hitch hikers" on it, such as mantis shrimp, etc..Plus if it is being shipped, there is certain to be excess die-off, which will just add more pollutants to the tank.
Do not do any water changes while you are trying to cycle...You can add deionized/or/distilled water to top off any evaporation.
You need to cycle a tank that size for at least 4-6 weeks, and if at all possible,keep a log of your water test results..
When all starts to balance out, AND stays at a acceptable level, your tank has completed its cycle..
What type of substrate are you planning on LS (live sand) or CC (crushed Coral)
If you dont mind, I's really suggest using sand VS CC...CC tends to trap a lot of unwanted debris, and will tend to keep your nitrates High,,
Also, just throw a pc of raw or cooked shrimp in the tank, that will help will the cycle process..I personally do not believe in using Damsels or any other fish in cycling a tank,,but everyone has their own opinion on that subject..
I hope I was of some help to you, sorry the post is so long...If you have any other questions,dont hesitate to ask, almost everyone here is very helpful..GL with your new tank, you'll love it..
~Susie