1. Dice Tray - nice wood flat-bottomed, felt covered tray
Pros - you can buy fancy ones that will fit in with expensive yuppie gaming tables in their fancy-smacey game rooms.
Cons - dice can still bounce over the rim of the tray; the trays take up table space with no use other than rolling dice; nice ones can be expensive, cheap ones look cheap
2. Redneck Dice Tray - an ash tray, bowl, or glass tumbler
Pros - It looks cheap but you didn't spend any money on it like a fool. It can double as an ash tray or spitoon. You almost certainly have SOMETHING in your home that can be used as a make-shift dice tray.
Cons - Takes up table space, but at least has other uses.
3. Dice Tower
Pros - generally take up less table space than dice trays. Nobody can accuse you of cheating or controlling the dice with your throw. The dice are almost guaranteed to not go off the table. Roller less likely to grab up the dice before others at the table can see them.
Cons - Some models can slow down the dice rolling, reading, and retrieving. Less satisfying than throwing the dice. Cheap ones look really dumb. Expensive once have a habit for getting bumped off tables and breaking apart. Do not travel well. So you'll still have your dice off the table issue at Conventions and Game Stores unless you pack your bulking dice tower.
4. Digital Dice
Pros. You can put your phone on the table and use a dice app to roll and still let others at the table see.
Cons. Dice that need battery power, no thanks. You lose the tactile joy that comes from throwing physical dice. You might as well all go back to your own homes and play on Roll 20.
5. VTTs
Pros. No physical table for dice to fall off of.
Cons. Virtual tables generally used virtual dice. Boo! If you roll physical dice while playing with a VTT then you still have all the issues related to dice rolling off of a table, but probably more so as you are probably at a desk or table with far less table space than whatever table you'd sit around with physically present people.
6. Metal Dice
Pros. Heavier, less travel when rolling. When used in conjunction with a dice tray, are very unlikely to bounce off the table. Loud. Some say that's a con, they are wrong.
Cons. Expensive. Will lead exacerbate possessiveness and unwillingness to share dice. The risk of someone borrowing and forgetting to return you $20 d20.