I arrive in Tel Aviv at 7:45 AM. on 10/23. My sister arrives the same day at 3:15 PM. In the US, an airport would have lockers where I could store my luggage for several hours while I go into Tel Aviv and pass the day. Is that possible?
Our hotel is in E. Jerusalem and check-in isn't until 2PM. Even if I take a cab there, I will still have a few hours to kill (with luggage) before getting into the hotel room.
Yes there is luggage storage at the airport during the day. They are located at level G at the Kerem parking lot. Service is 8:00AM-19:45PM with NO CHARGE. If you want to do this, you could then take the train from the airport to Tel Aviv and back. It's fast (about 20 minutes) and cheap at NIS 16 (about $4.20) each way. There are 2 trains an hour, at 28 and 36 minutes past the hour (weird, hunh?). There are several stops in Tel Aviv, depending on what you want to do. You should probably get off at the Savidor station and get a bus (it's a good 1/2 hour walk or longer to the market and/or beach) - there are many city bus lines that stop there. Friday is the start of the weekend here, so there'll be more people out and about - though possibly not as many as usual if the current security situation continues - not that it's dangerous, but a lot of people are staying home. I met friends yesterday in Jerusalem for dinner. There were about 10 of us and dozens of other people around, but not the crowds there would have been a few weeks ago. It was kind of nice, actually. . . quiet enough for good conversation, an attentive waitress, fast service.
To get to Jerusalem you will take a "sherut." They are vans (8-10 people) and leave the airport as soon as they fill up, dropping passengers at their address. Depending on where others are going, you could be first, last or anywhere in-between, but you will get dropped in front of the hotel. So if you want to go straight to Jerusalem you could do that and your sister could take the sherut on her own. If your room is ready when you arrive, the hotel will let you check in. If not, they will store your luggage until you return.
BTW, we change the clocks the weekend you arrive. From Sunday, I'll be traveling for a few days, so if you want to contact me, it'll be better to send me a PM - and give me an email address to respond. I will have sporadic email access daily.