It depends if the site is below your floor boards, or behind the aft cabin wall.
Either way, the replacement is not that big a deal.
If the replacement is identical to the original, you can replace it, properly wire it to your electrical system and then fill out the airplane log book with the data from the manufacturer and then sign it with your name and pilot number. You then have to have your friendly A&P examine your work and cosign your log.
It helps to keep all of the data included with the new strobe.
On the other hand, if you are installing a different item than was originally there, you will have to confirm that the circuit breaker is the correct size and the wiring appropriate for the expected current. You will then have to include the manufacturer's STC data in your notation and in the aircraft logs or data file.
My Bonanza has so many files that it makes more sense for me to keep a separate file folder containing all of the STC data which have been used or installed on my airplane.
Again, you will have to have your A&P co sign the work.