There will be fewer games that support Move at the moment because it's a relatively new device. If you look today you might not find the games you want on the PS3, but as time passes more games will be released that make use of Move.
Digital Trends has an article that compares the Move to a Wiimote. The basic difference is:
While the accelerometers inside the controller act much as a Wii does, the balls provide what Sony calls a zero point – an absolute location in physical space for the system to peg all the other data to.
While the Wiimote uses its camera to locate the IR emitters in the sensor bar placed above or below the screen, the PS3 uses a camera to locate the glowing ball on the Move. I've never used the Move so I can't tell you whether it's better or worse than the Wii.
From the PlayStation blog: Yes, some games do have this option. What you are looking for is pass-and-play multiplayer.
Q: How many PlayStation Move motion controllers do I need?
A: Most PlayStation Move games only require one motion controller. However, some games may support two controllers for single-player gameplay (such as The Fight: Lights Out and certain events in Sports Champions) or for multiplayer mode.
Q: How many players can use PlayStation Move at the same time?
A: The actual number of players supported depends on the game you are playing. Many PlayStation Move titles support anywhere from 1 to 4 players with many options for gameplay, including single player, pass-and-play multiplayer, competitive, or co-op modes. The PS3 system supports up to seven devices, of which up to four of those devices can be PlayStation Move motion controllers.
Sports Champions does support pass-and-play.
Sports Champions supports 1-4 players through intuitive, pass-and-play gameplay or head-to-head challenges.
High Velocity Bowling does not specifically mention it, but reviews I have read suggest that it supports pass-and-play. Brunswick Pro Bowling doesn't mention it either, and I can't tell from reviews whether or not pass-and-play is supported.
If there is a specific bowling game you're asking about that isn't listed, add that to your question and we'll see if we can find out whether or not pass-and-play is supported for that game.
Best Answer
Additional information on the Playstation website.
And i found one more interesting post on this reddit: