Question re: Installing New Power Strip in Kitchen
You can plug a normal power bar into a GFCI outlet and get the same protection as plugging directly into the GFCI. 

If the outlet you'd be plugging into isn't a GFCI, you might negotiate with your landlord to get one. 

Or get something like this:

https://www.amazon.com/TRC-90265-6-012-Shockshield-Portable-Protection/dp/B000XVG72G?th=1