Savoy Hotel is located across from NAIA Terminal 3, however on the north end. Walking there through the "Runway Manila" footbridge is possible but would take quite some time. Unfortunately it seems the free Resorts World shuttle bus currently is not available, leaving only a taxi as a more convenient option.
For getting to the airport, you can ask the concierge to order a Grab car. Even to terminal 1 and 2 it will cost less than 300 Pesos.
Staff is friendly and helpful, although check-in and check-out can take very long (easily 15-20 minutes waiting time) as they don't have enough counters for the number of guests. This was pretty annoying and should be solved.
Rooms are nice and comfortable. Be aware that "airport view" just means looking at a busy highway if you're at one of the lower floors; this was a bit disappointing as I was hoping to see some airport activity. Besides that, the room was absolutely as expected and very clean.
Unfortunately the situation at breakfast was very disappointing. I paid extra for a room including breakfast but then found a very long waiting queue in the morning, so I ended up paying again for breakfast at Starbucks next door. For this reason, I probably wouldn't book this hotel again.
Luckily you'll find several restaurants and shops nearby.