In TA I second the recommendation to walk around the White City. I took a free tour in September that met at the tourist info kiosk on Rothschild by Nahalat Benyamin - it was decent, with a fair bit of Tel Aviv/Israeli history thrown in.
I would also recommend a stroll around both Nahalat Benyamin and Neve Tzedek, two old neighborhoods with some beautiful architecture and fun restaurants/shops.
Running along the beachfront is a nice option, and free. Old Jaffa is pretty and historic, and the flea market (shuk hapishpeshim) can be interesting, although tbh I haven't been to the latter in over a decade.
Bet Hatefutzot (Diaspora Museum) could be an interesting way to spend a couple of hours, if you're into museums, although it's a bit to the north.
Restaurant recommendation - if you need a bacon fix, there's a 24-hour brunch place called Benedict (Rothschild/Allenby) that I really like.