In Tveryah, here are some basic directions: If you take the 90 up from Jerusalem, about 10 minutes into Tveryah (about 15 minutes after you pass Kibbutz Kineret) you’ll see a big building on the right that says Chamei Tveryah. Go there; it’s a great place. They have separate hours at least once a week (I believe men is Wednesday night from 10-12). Right across the street from that is kever R’ Meir Ba’al Hanes.
If you keep driving, the 90 splits. Take it to the right. You will pass the Leonardo Hotel on your right. Note: Somewhere on this road, kohanim cannot drive, because there are kevarim. Just before the Leonardo there is a right turn which you can make to take you to a parking lot. Park there and walk to the boardwalk. Look for the sign that says Tornado. They have great boat/raft/banana rides, for about 250 shek/15 min. There’s a lot to do on the boardwalk. Go to the Haunted House; it is INSANELY scary. Well worth the 50 shek. The 4D movie is for yeshiva bachurim who need an excuse to watch a movie, but it’s worth the 30 shekel.
Right up the boardwalk you’ll find Cherry’s, which is the (milchig) restaurant that all the Americans eat at. Belzer hashgacha.
If you take the 90 further up, it splits. I believe you’re supposed to go to the right and then make a left; follow it for about two minutes and look to your left. You should see a very distinctive cone-shaped metal monument. Park somewhere and walk down. This is the Rambam’s kever. The Shlah HaKadosh is also buried there, and about ten Tanaim and Amoraim.
In Tveryah you also have the kever of the Ramchal (buried near R’ Akiva), the kever of Rochel Eishes R’ Akiva, and many more. I can’t give exact directions for them, but Google Maps should be able to.
In Tsfas (40 minutes North of Tveryah), you basically just want the old city and the old cemetary/Arizal’s mikva. Don’t go to the cheese or candle factories; they are a waste of time. Chaval al hazman.
In Meron (20 minutes from Tsfas), there will be millions of signs directing you to the tziyun of R’ Shimon bar Yochai. There is nothing else to do there.
You should definitely go to Yonasan ben Uziel’s kever in Amukah. I was just there on Tu B’Av, and we made a barbeque in the parking lot. I am not engaged yet.
Do NOT try to find the road where “everything rolls uphill”. It has no signs to show you where it is, and once you find it, you probably won’t even notice it. It is merely an illusion, and a quick Wikipedia search for “anti gravity hill” will show you that you don’t need to travel to Amuka for a scam like this. There’s even one about 20 minutes from Lakewood.
Check out the Carmel Wine Factory in the Golan Heights. Despite all the signs and travel guides to the contrary, you can’t actually visit the brewery in the Golan Heights. The winery is a great place though.
If you’re looking for outdoorsy/water activities (jumping into the Yarden from trees, white water rafting, hiking in nachals, home-made water slide thingys in rivers, etc.) let me know and I’ll give you details.